Dissertations / Theses on the topic 'Hankou'

La concession française de Hankou (1896-1943), quatrième et dernier des établissements français crées en Chine, fait partie des cinq concessions étrangères établies dans cette ville le long du Yangzi. Retracer l'histoire de ce quartier, des premières tentatives de création à la rétrocession et jusqu'à aujourd'hui, montre l'évolution de sa place dans l'espace urbain et dans les représentations. L'histoire de la concession permet de dévoiler la complexité du statut et les ambiguïtés que confère à la concession française une place mal définie dans la ville. Après la rétrocession, le quartier est délaissé et les discours stigmatisent le phénomène concessionnaire. Cette disparition dans les préoccupations concernant le développement urbain est suivie par une réapparition de l'espace occupé par la concession dans les réflexions des urbanistes. L'instrumentalisation politique de l'histoire de la concession change, elle aussi, radicalement. Le discours servant précédemment à dénoncer l'invasion impérialiste, tend aujourd'hui à mettre en exergue l'ouverture précoce de la ville. La perception des concessions change. Le rejet du phénomène concessionnaire dans son ensemble se mue en intégration de celui-ci dans l'histoire de la ville. La revalorisation du quartier des concessions repose la question de sa place actuelle dans la ville. L'étude de la production historiographique et de la politique de mise en valeur du patrimoine met en évidence le passage d'une instrumentalisation politique à une exploitation économique de la concession
The French concession of Hankow, the fourth and last French settlement established in China, was part of the five foreign settlements created in this city along the Yangtze River. Narrating the history of this neighbourhood from the first attempts at its creation to the retrocession through to the present shows the evolution of its place in urban space and of its representations. Its place being left poorly defined in the city confers to the concession a complex and ambiguous status. After the revocation, the district was neglected and discourses stigmatized the concession phenomenon. After disappearing from the preoccupations of urban development, this space reappears in the reflections of urbanists. Meanwhile, the political instrumentation of the concession's history changed radically. Discourses moved from denouncing imperialist invasion to bringing forward the precocious openness of the city. The perception of the concessions has changed. The phenomenon of rejection surrounding the concession has been replaced by its integration in the city's history. The analysis of historiographical production and heritage protection policy clearly demonstrates the passage of the concession from political instrumentation to economical exploitation

Cette thèse cherche à offrir de nouveaux éclairages sur le déploiement territorial des concessions étrangères en Chine aux XIXe et XXe siècles. Bien que la période étudiée s’étende de 1846 à la rétrocession des dernières concessions en 1946, un accent particulier est placé sur la décennie 1910 qui annonce l’essoufflement définitif des logiques expansionnistes. La première partie s’articule autour de l’analyse du projet d’extension mené par la Municipalité française de Tianjin de 1902 à 1946 dans le quartier de Laoxikai 老西開. Cet exemple emblématique sert de pilier et de tremplin pour l’écriture d’une histoire connectée de l’expansion des concessions étrangères. Le cas d’étude centré sur Tianjin permet de structurer la réflexion qui s’élargit, dans une deuxième partie, à Shanghai et Hankou. La mise en perspective de ces trois villes dévoile les principes et conditions dans lesquels évoluent les impérialismes étrangers en Chine, du rôle moteur joué par leur compétition mutuelle aux mécanismes d’échange et d’accommodement avec les fonctionnaires officiels et les citadins chinois. Elle révèle également la difficile posture et la faiblesse de l’Etat central avant et après la Révolution de 1911, ainsi que la complexité des rapports entre autorités nationales et locales. Elle représente enfin un observatoire privilégié d'une frange de la société chinoise des ports ouverts dont les modes d’expression et de contestation connaissent un tournant significatif durant les années 1910. La mise en connexion de ces mutations croisées conduit à nuancer tant le grand récit historiographique d’un impérialisme occidental triomphant que les représentations orthodoxes associées au nationalisme « moderne » chinois
This thesis aims to further clarify the territorial deployment of foreign settlements in China in the nineteenth and twentieth centuries. Although the period examined extends from 1846 to the retrocession of the last concessions in 1946, special emphasis is placed on the 1910s, a decade which spelled the end of expansionist logic. The first part analyzes the project of expansion led by the French Municipality of Tianjin from 1902 to 1946 in the Laoxikai District 老西開. This symbolic example serves both as pillar and springboard for writing a connected history of the expansion of foreign settlements. The case study on Tianjin provides a clearer analysis that encompasses Shanghai and Hankou in the second part. Establishing a perspective on the three cities reveals the principles and conditions under which foreign imperialism evolved in China, where mutually competing forces played leading roles. Further, it captures and illustrates the mechanisms of exchange and compromise engaged with Chinese officials and urban citizens. It also discloses the difficult position and weakness of the Chinese State before and after the 1911 Revolution, and the complexity of the relationship between national and local authorities. Finally, it offers a unique vantage point from which to observe sections of Chinese society within the treaty ports whose forms of expression and protest experienced a significant turning point in the 1910s. Relationships between these intertwined evolutions challenge both the dominant historiographical narrative on Western triumphant imperialism and orthodox representations associated with Chinese "modern" nationalism

Le quartier du XIXe siècle de Wuhan, situé dans l’ancienne ville de Hankou, s’est formé pendant l’ouverture commerciale de la Chine dans la deuxième moitié du XIXe siècle, au moment où les concessions étrangères ont été installées dans la ville. A l’époque, le quartier se distingue par son urbanisation moderne et son architecture résultant d’un métissage entre les influences orientales et occidentales. Il fût construit sans planification globale et a su montrer, tout au long de son histoire, une force de réception des cultures extérieures et une capacité de transformation sans pour autant perdre son identité locale traditionnelle.Cependant, au début du XXIe siècle, ce quartier historique de Wuhan est dans une situation de déclin, confronté à la métropolisation rapide de la ville. La ville se lance ainsi dans une stratégie de « mise en réseau » dans le but de redynamiser les vieux quartiers centraux. Dans cette perspective, le projet de réhabilitation «Wuhan Tiandi » voit le jour et s’articule autour d’une station de transport multimodale, implantée au coeur du quartier du XIXe siècle. L’ancien quartier est transformé en une zone touristique et commerciale moderne et son réseau de ruelles traditionnelles est intégré au réseau de transport métropolitain.La problématique de cette thèse est élaborée autour de ce projet de réhabilitation : quels sont les effets de ce projet de réhabilitation urbaine sur ce quartier patrimonial de Wuhan ? Quel est le rôle joué par ce projet dans le processus de métropolisation de cette ville chinoise de second rang ? En répondant à ces questions, la thèse montre la relation indissociable entre les projets de réhabilitation et la métropolisation de Wuhan. La thèse cherche aussi à révéler l’urbanisme pragmatique et dirigiste de la Chine : d’une part, la façon de sauvegarder le patrimoine urbain dépendant de l’intérêt du marché, de l’autre, l’effet déterminant des acteurs des projets, dont les plus importants sont l’Etat et les gouvernements locaux
The nineteenth century district of Wuhan, located in the ancient city of Hankou, has been formed during China's trade openness in the second half of the XIXth century, when foreign concessions have been settled in the city. At the time, the district is distinguished by its modern architecture and urbanization resulting from a blending of Eastern and Western influences. Built without overall planning, it has demonstrated throughout its history a strength of reception of external cultures and a capacity for transformation without losing its traditional local identity.However, in the early twenty-first century, the historic district of Wuhan is in a declining situation, faced with the rapid metropolisation of the city. Local authorities launch a "networking" strategy in order to revitalize the old central districts. In this perspective, the rehabilitation project "Wuhan Tiandi" was born and revolves around a multimodal transportation station, located in the heart of the nineteenth century district. The old neighborhood has turned into a modern touristic and commercial area and its network of traditional streets is integrated to the metropolitan transport network.The issue of this thesis is built around this rehabilitation project : What are the effects of this urban regeneration project on the heritage district of Wuhan? What is the role of this project in the metropolisation process of this Chinese second-rank city? By answering these questions, the thesis shows the inseparable relationship between rehabilitation projects and the metropolisation of Wuhan. The thesis also seeks to reveal the pragmatic and interventionist posture of urban planning in China. Certainly, the way to safeguard the urban heritage depends on the interests of the market, but the most important actors of the projects are the State and the local governments

Hanoi, à travers une longue histoire de plusieurs milliers d'années, dispose de très riche héritage patrimonial, souvenirs de son développement. Ces témoignages historiques sont exprimés par la présence de valeurs culturelles matérielles et immatérielles. L’architecture est considérée comme une représentante complète pour identifier ces traces historiques.Cependant, pour ces vieux centres urbains millénaires comme Hanoi, il existe un phénomène symbiotique. La conservation des valeurs culturelles anciennes dans le contexte de modernisation est la source du risque de négligence ou d’abus pour les patrimoines culturels. Pour les pays en développement, notamment les pays asiatiques comme le Vietnam, l'objectif de développement rapide afin de rattraper et de dépasser les pays développés est un fort désir. Il y a donc un très fort enjeu pour la conservation des valeurs culturelles traditionnelles. Cela conduit souvent à des relations antagonistes entre conservation de l’héritage historique et développement. En effet, pour un développement économique fort, on a besoin parfois d’ignorer les besoins culturels et spirituels, directement liés à la vie communautaire.Les patrimoines architecturaux souffrent de l’«indifférence» et divisent la communauté. Il s’agit dans cette thèse de proposer une approche différente pour nous aider à voir que la cause de ces problèmes est non seulement due à des besoins de développement économique, des aspirations pour enrichir la communauté, mais aussi un manque d'informations sur les valeurs de l'architecture du patrimoine culturel. C’est une lacune dans la gestion des collectivités locales et dans la prise de conscience du peuple. Une telle exigence est de combler cette lacune. De ce fait, je me permets de soumettre mon mémoire sous le thème Préservation et promotion des valeurs de l'architecture des Đình dans le vieux quartier de Hanoi – le patrimoine architectural et urbain du Vietnam
Hanoi, through a long history of several thousand years, has a very rich heritage heritage, memories of its development. These historical testimonies are expressed by the presence of material and intangible cultural values. Architecture is considered as a complete representative to identify these historical traces.However, for these old millennial urban centers like Hanoi, there is a symbiotic phenomenon. The preservation of ancient cultural values in the context of modernization is the source of the risk of neglect or abuse of cultural heritage. For developing countries, especially Asian countries such as Vietnam, the goal of rapid development to catch up and overtake developed countries is a strong desire. There is therefore a very strong stake for the conservation of traditional cultural values. This often leads to antagonistic relationships between conservation of historical heritage and development. Indeed, for a strong economic development, we sometimes need to ignore cultural and spiritual needs, directly related to community life.The architectural heritages suffer from "indifference" and divide the community. The purpose of this thesis is to propose a different approach to help us see that the cause of these problems is not only due to economic development needs, aspirations to enrich the community, but also a lack of information about values of the cultural heritage architecture. This is a gap in the management of local communities and in the awareness of the people. Such a requirement is to fill this gap. Therefore, I allow myself to submit my thesis under the theme Conservation and promotion of the values of the Đình architecture in the old district of Hanoi - the architectural and urban heritage of Vietnam

This diploma thesis is focused on design and postprocessing of project documentation for two storey, cellular basement kindergarten in Měrovice nad Hanou. The target is to create operational dispositive solution which takes account of everyday operations. The operation consists of two class, a multipurpose hall, an operating section and a part of teachers. The buiding is designed from construction system Porotherm. It is built with warm flat roof and the building is based on strip foundations.

Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática e Computação Científica
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Nesta dissertação, estudaremos o Teorema de Nehari, nosso principal resultado, que nos permite decidir quando uma matriz Hankel infinita representa um operador contínuo. Para isto, veremos brevemente alguns resultados sobre operadores de multiplicação, o que nos permitirá definir os operadores de Laurent e de Toeplitz, com os quais estabeleceremos importantes resultados que nos permitirão, juntamente com o Teorema de Parrott, demonstrar o nosso principal resultado. Sendo assim, estabeleceremos algumas condições para determinar quando certas matrizes (Laurent, Toeplitz e Hankel) representam operadores contínuos. Trataremos, também do Teorema de Hartmann que caracteriza quando um matriz Hankel compacta representa um operador contínuo.

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CNPq
Os resultados desta tese se enquadram na teoria dos polin^omios homaloidais, com ^enfase no caso de determinantes. O objetivo principal e o estudo das propriedades homol ogicas do determinante da matriz gen erica de Hankel e de uma de suas degenera c~oes, como um m etodo de abordar o seu comportamento de natureza homal oide. No caso da matriz de Hankel gen erica, em caracter stica zero, concluimos que o Hessiano do determinante e n~ao nulo (equivalentemente, o mapa polar associado e dominante), mas o determinante n~ao e homal oide. No caso degenerado, sabese que o determinante e homal oide (provado por Cilibert-Russo-Simis [3]); aqui, determinamos os invariantes num ericos e homol ogicos do respectivo ideal gradiente (polar), esses podendo ser usados para simpli car algumas passagens no argumento de [3]. Os principais resultados da tese s~ao baseados em ferramentas n~ao triviais da algebra comutativa e a natureza do uso dessas ferramentas e um dos recursos importantes desta tese.

Mestrado em Matemática
Algumas aplicações da Física-Matemática, nomeadamente problemas de difracção de ondas electromagnéticas, podem-se traduzir por sistemas de equações integrais caracterizadas por operadores de Wiener-Hopf-Hankel. Nesta tese, são analisados estes operadores com dois tipos específicos de símbolos de Fourier: quase periódicos e contínuos por troços. Relativamente aos operadores de Wiener-Hopf-Hankel com símbolos de Fourier quase periódicos, são descritos alguns avanços alcançados recentemente e que fornecem critérios de invertibilidade e de descrição da propriedade de Fredholm destes operadores actuando em espaços de Lebesgue. Associados, também, a problemas de difracção de ondas electromagnéticas surgem operadores de Wiener-Hopf-Hankel a actuar em espaços de potenciais de Bessel, que no caso particular de os índices de suavidade dos referidos espaços serem nulos, isto é, considerando espaços de Lebesgue, prova-se que é possível reduzir o problema da sua invertibilidade a um problema em geral mais simples, que é o da verificação se o operador de Toeplitz menos Hankel equivalente é um operador de Fredhom de índice nulo. No caso de os símbolos de Fourier serem funções contínuas por troços obtém-se uma condição suficiente para que sejam operadores de Fredholm e uma fórmula que permite computar o respectivo índice de Fredholm, bem como uma condição necessária e suficiente para que tais operadores sejam operadores de Fredholm, desde que se verifique uma certa relação de dependência dos símbolos de Fourier.
Some mathematical-physics applications can be translated for systems of integral equations characterized by operators of Wiener-Hopf-Hankel. This is the case of some electromagnetic waves diffraction problems. In this thesis, these operators with two specific types of Fourier symbols are analyzed: almost periodic and piecewise continuous. Relatively to the operators of Wiener-Hopf-Hankel with almost periodic Fourier symbols acting between Lebesgue spaces, some advances, that supply a invertibility and Fredholm property criterion, reached recently are described. Related, also, with some electromagnetic waves diffraction problems appear Wiener-Hopf-Hankel operators acting between Bessel potentials spaces, that in the particular case of the smoothness indices of the related spaces to be null, that is, considering Lebesgue spaces, is proved that it is possible to reduce the problem of its invertibility to a in general simpler problem, that is of the verification if the equivalent Toeplitz minus Hankel operator is a Fredhom operator of null index. In the case of the Fourier symbols to be piecewise continuous functions it was gotten a sufficient condition so that they are Fredholm operators and a formula that allows computing the respective Fredholm index, as well as a necessary and sufficient condition so that such operators are Fredholm operators, since that the Fourier symbols verifies a certain relation of dependence.

Le travail se fonde essentiellement sur l'examen attentif d'un film; la nuit claire, choisi comme miroir interne a l'oeuvre; l'analyse textuelle est operee dans une perspective semio-psychanalytique. Apres une presentation et une proposition de decoupage, l'examen des constituants fondamentaux du recit (espace, temps, action -signification) montre que la structuration de l'espace se fait non en termes referentiels mais en termes narratifs a l'aide d'oppositions-liaisons de motifs constitutifs d'un univers duel et reversible, que la temporalite diegetique fait place a une temporalite fluide et circulable en tous sens et que la linearite est remplacee par un essaimage analogique. Le discours diegetique deregle revele un discours "autre" qui se constitue progressivement a travers les manques du premier. Celui-ci se presente sous forme d'un ordre sous-jacent postule, disperse dans le jeu incessant de repetitions-digressions. L'ordre qui s'esquisse est sans cesse deconstruit et le film fonde sa pratique sur le rejet repetitif. L'analyse textuelle est suivie d'une ouverture sur l'oeuvre qui a travers six films tente de cerner les caracteristiques du travail cinematographique de marcel hanoun. La conclusion enfin propose un regard retrospectif sur la trajectoire de l'oeuvre
This work consists mainly in the close study of a film. The bright night, regarded as a mirror within the works of marcel hanoun; the approach is a combination of semiotics and psychoanalysis. After presentation and sequencing of the film, the basic narrative components are examined (space, time, action, signification) space appears as structured alongside narrative lines rather than referential ones, opposing-linking elements from a dual and reversible world, diegetic time is replaced by a more fluid one which can be circulated in any direction, and progress and development are no longer based on linearity but on similarity and made of analogical dispersion. Another discourse emerges from the shattered diegesis, it appears as an underliying but temporary "order" taking the form in the film of a constant interplay between similarities and variations, repetition and digressions. An order no sooner appears that it is brought down and replaced by another one causing the film to be an absolute anti-synthesis. This study is followed by a survey of six other films in an attempt to underline the characteristics of marcel hanoun's cinematographic "style". The conclusion proposes a retrospective glance on the whole of his works

Nous nous intéressons aux opérateurs de Hankel $H_{bar{f}}$ de symbole anti holomorphe $bar{f}$ et regardons l'espace de Dixmier $mathcal{D}^{p}$ associé ($pgeq1$), c'est à dire l'ensemble des $f$ tel que $|H_{bar{f}}|^{p}$ soit dans l'idéal de Macaev $mathcal{S}^{+}_{1}$. Notre approche est de voir l'espace de Dixmier comme une certaine limite des classes de Schatten. Quand $f in mathcal{D}^{p}$, nous étudions $Tr_{omega}(|$H_{bar{f}}$|^{p})$ la trace de Dixmier de $|H_{bar{f}}|^{p}$. Nous redémontrons certains résultats classiques quand $f$ est holomorphe sur le disque alors que nous donnons de nouveaux résultats quand $f$ est entière. Nous utilisons notre méthode pour étudier l'espace de Dixmier du petit opérateur de Hankel, des opérateurs de Toeplitz $T_{varphi}$ ($varphi$ définie sur le disque ou sur le plan complexe tout entier) ainsi que pour l'opérateur de composition
We study Hankel operators $H_{bar{f}}$ with anti holomorphic symbol $bar{f}$ and we are interested to the Dixmier space $mathcal{D}^{p}$ ($pgeq1$), the set of functions $f$ such that $|H_{bar{f}}|^{p} in mathcal{S}^{+}_{1}$ the Macaev ideal. We look Dixmier space as a limit of Schatten class. When $f in mathcal{D}^{p}$, we study $Tr_{omega}(|$H_{bar{f}}$|^{p})$ the Dixmier trace of $|H_{bar{f}}|^{p}$. We have different results when $f$ is an entire or a holomorphic function of the unit disk in the complex plan. We study also the Dixmier space of the little Hankel operator, Toeplitz operator and composition operator

Grâce à la politique du "Doi moi", le développement urbain au Vietnam en général et l’évolution de l’éclairage urbain en particulier ont obtenu des résultats considérables. Quelques villes vietnamiennes ont recueilli des résultats appréciables dans la création d’une identité urbaine grâce à leur politique d’éclairage. Cependant, l’éclairage de la capitale Hanoï, une ville bien appréciée pour sa richesse des patrimoines culturels et architecturaux, n’a pas encore créé une profonde impression, en particulier l’éclairage de sa fête du Millénaire qui a été une déception bien qu’il ait été pris en charge par la plus grande société de tout pays dans le domaine de l’éclairage et qu’il ait reçu une somme énorme d’investissement considérable. Dans le contexte où l’éclairage urbain se développe et devient un facteur de développement socio-économique et un bon outil de valorisation d’identité urbaine aussi, l’attirance faible de l’éclairage a fait perdre plusieurs chances d’essor à Hanoï. L’obligation de l’élaboration de l’urbanisme lumière est un grand enjeu de la ville, surtout son dernier SDAU soulève encore bien des doutes. Même si l’on peut dresser un bon document d’urbanisme lumière pour Hanoï, lequel vise à économiser de l’énergie et à limiter les impacts de l’éclairage sur l’environnement, tout en répondant aux besoins de vision et de sécurité, à la création d’identité urbaine aussi, l’éclairage de Hanoï ne pourra pas prendre son envol tant que son marché non concurrentiel et non transparent continuera à régner
Thanks to the policy of "Doi moi", urban development in Vietnam in general and the evolution of urban lighting in particular have achieved considerable results. Some cities in Vietnam have been successful in creating an urban identity through their lighting policy. However, the lighting in the capital Hanoi, a city highly appreciated for its riches in cultural and architectural heritages, has not created any good impression. Especially, the lighting during the Millennium celebrations was such a disappointment even though it was taken care by the biggest company of the country and received an enormous amount of investment. In the context where urban lighting develops and becomes a factor of socioeconomic development and a good tool in promoting urban identity, the poor attraction of lighting contributed to the loss of several chances for development for Hanoi. The obligation of elaborating a lighting planning is a big challenge for the city, especially when the most recent city planning of Hanoi has even raised more doubts. Even if they can create a good lighting planning for Hà-Nội, one that saves energy and limits the impacts of the lighting on the environment, while meeting the needs of vision and security, one that also creates an urban identity, the lighting of Hanoi will not be able to take off as long as its uncompetitive and non-transparent market will continue to reign

The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. We also study the big Hankel operator acting on vector-valued Bergman spaces. In Chapter 1 we collect all the previous results and notations needed to follow the rest of the manuscript. More concretely, some of the topics covered in this chapter are the Bochner integral, the integral for vector-valued functions appearing first in Bochner; the Bergman metric, results of the metric used in Bn; harmonic and subharmonic function; basic notions of differentiation, where the differential operators R(a, t) are presented which is important in the next chapters and in the final section we recall some topics on Banach spaces, as the Rademacher type and cotype of a Banach space and some other related results. Having all that in mind, in Chapter 2, the vector-valued Bergman spaces are presented. The vector-valued Bloch type spaces play a similar role and therefore we dedícate one full chapter to these spaces. Chapter 3 is devoted to present and characterize the vector-valued Bloch type spaces. Since we mention Hankel operators, in Chapter 4 we prove the characterization of the boundedness of the small Hankel operator with analytic operator-valued symbols between vector-valued Bergman spaces (of different type). We explain what this means in the following. Another very important consequence of the boundedness of the small Hankel operator between vector-valued Bergman spaces is shown in Chapter 5. We establish the weak factorization of the vector-valued Bergman spaces. Factorization of analytic functions is a very big topic and many people worked on it during many years and it is known to have many applications. Therefore, in Chapter 6 we fully characterize the boundedness of the big Hankel operator on vector-valued Bergman spaces in terms of its operator-valued holomorphic symbol for all cases of p > 1 and q > 1, and so we solve and generalize the previous problem. Finally, in Chapter 7 we discuss some open problems we have not been able to solve, as well as some other interesting problems in the same line as this work in order to look on the future.

Doutoramento em Matemática
In this thesis we consider Wiener-Hopf-Hankel operators with Fourier symbols in the class of almost periodic, semi-almost periodic and piecewise almost periodic functions. In the first place, we consider Wiener-Hopf-Hankel operators acting between L2 Lebesgue spaces with possibly different Fourier matrix symbols in the Wiener-Hopf and in the Hankel operators. In the second place, we consider these operators with equal Fourier symbols and acting between weighted Lebesgue spaces Lp(R;w), where 1 < p < 1 and w belongs to a subclass of Muckenhoupt weights. In addition, singular integral operators with Carleman shift and almost periodic coefficients are also object of study. The main purpose of this thesis is to obtain regularity properties characterizations of those classes of operators. By regularity properties we mean those that depend on the kernel and cokernel of the operator. The main techniques used are the equivalence relations between operators and the factorization theory. An invertibility characterization for the Wiener-Hopf-Hankel operators with symbols belonging to the Wiener subclass of almost periodic functions APW is obtained, assuming that a particular matrix function admits a numerical range bounded away from zero and based on the values of a certain mean motion. For Wiener-Hopf-Hankel operators acting between L2-spaces and with possibly different AP symbols, criteria for the semi-Fredholm property and for one-sided and both-sided invertibility are obtained and the inverses for all possible cases are exhibited. For such results, a new type of AP factorization is introduced. Singular integral operators with Carleman shift and scalar almost periodic coefficients are also studied. Considering an auxiliar and simpler operator, and using appropriate factorizations, the dimensions of the kernels and cokernels of those operators are obtained. For Wiener-Hopf-Hankel operators with (possibly different) SAP and PAP matrix symbols and acting between L2-spaces, criteria for the Fredholm property are presented as well as the sum of the Fredholm indices of the Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators. By studying dependencies between different matrix Fourier symbols of Wiener-Hopf plus Hankel operators acting between L2-spaces, results about the kernel and cokernel of those operators are derived. For Wiener-Hopf-Hankel operators acting between weighted Lebesgue spaces, Lp(R;w), a study is made considering equal scalar Fourier symbols in the Wiener-Hopf and in the Hankel operators and belonging to the classes of APp;w, SAPp;w and PAPp;w. It is obtained an invertibility characterization for Wiener-Hopf plus Hankel operators with APp;w symbols. In the cases for which the Fourier symbols of the operators belong to SAPp;w and PAPp;w, it is obtained semi-Fredholm criteria for Wiener-Hopf-Hankel operators as well as formulas for the Fredholm indices of those operators.
Nesta tese consideramos operadores de Wiener-Hopf-Hankel com símbolos de Fourier nas classes das funções quase-periódicas, semi-quase periódicas e quase periódicas por troços. Começamos por considerar operadores de Wiener-Hopf-Hankel actuando entre espaços de Lebesgue L2 com símbolos matriciais de Fourier possivelmente diferentes nos operadores de Wiener- Hopf e de Hankel. Seguidamente, consideramos estes operadores com símbolos de Fourier iguais actuando entre espaços de Lebesgue com pesos Lp(R;w), onde 1 < p < 1 e w pertence a uma subclasse de pesos de Muckenhoupt. Adicionalmente, são também objecto de estudo operadores singulares integrais com deslocamento de Carleman e coeficientes quaseperiódicos. O objectivo principal desta tese é obter caracterizações para tais classes de operadores no que refere às suas propriedades de regularidade. Por propriedades de regularidade nós designamos aquelas propriedades que dependem do núcleo e do co-núcleo do operador. As principais técnicas usadas são as relações de equivalência entre operadores e a teoria da factorização. Uma caracterização da invertibilidade de operadores de Wiener-Hopf-Hankel com símbolos pertencentes à subclasse de Wiener de funções quaseperiódicas APW é obtida, assumindo que uma particular função matricial admite um contradomínio numérico limitado fora de zero e baseando-nos nos valores uma certa média de deslocamento. Para os operadores de Wiener-Hopf-Hankel actuando entre espaços de Lebesgue L2 e com símbolos AP possivelmente diferentes, critérios para a propriedade de semi-Fredholm e para a invertibilidade lateral e bi-lateral são obtidos e inversos para todos os casos possíveis são apresentados. Com vista a tais resultados, um novo tipo de factorização AP é introduzido. Operadores singulares integrais com deslocamento de Carleman e com coeficientes escalares quase-periódicos são também estudados. Considerando um operador auxiliar mais simples e usando factorizações apropriadas, as dimensões dos núcleos e dos co-núcleos destes operadores são obtidas. Para operadores de Wiener-Hopf-Hankel com símbolos matriciais SAP e PAP (possivelmente diferentes) actuando entre espaços de Lebesgue L2, critérios para a propriedade de Fredholm são apresentados tal como a soma dos índices de Fredholm dos operadores de Wiener-Hopf mais Hankel e Wiener-Hopf menos Hankel. Estudando dependências entre diferentes símbolos matriciais de Fourier dos operadores de Wiener-Hopf mais Hankel actuando entre espaços de Lebesgue L2, conclusões são obtidas acerca do núcleo e do co-núcleo destes operadores. Para operadores de Wiener-Hopf-Hankel actuando entre espaços de Lebesgue com pesos, Lp(R;w), é feito um estudo considerando símbolos de Fourier escalares e iguais nos operadores de Wiener-Hopf e de Hankel e pertencentes às classes APp;w, SAPp;w e PAPp;w. É obtida uma caracterização da invertibilidade para operadores de Wiener-Hopf mais Hankel com símbolos APp;w. No caso em que os símbolos de Fourier dos operadores pertencem a SAPp;w e PAPp;w, são obtidos critérios de semi-Fredholm para os operadores de Wiener-Hopf-Hankel assim como fórmulas para os índices de Fredholm de tais operadores.

Continuité des *-représentations et opérateurs de Hankel Cette thèse est comporte deux parties indépendantes. Dans le première partie de ce travail, nous établissons une condition nécessaire et suffisante pour qu'une *-représentation d'un *-semi-groupe abélien topologique S est continu à l'identité e de S. Les résultats sont obtenus moyennant un théorème de représentation intégrale par rapport à une mesure portée par les semi caractères continus. Nous donnons ensuite diverses applications de ces résultats. La deuxième partie de cette thèse traite les opérateurs de Hankel de symboles anti-méromorphes sur les couronne. Dans un premier lieu on met en place le cadre de la théorie générale des opérateurs de Hankel associée à un espace de Hilbert de fonctions holomorphes A^2(µ) de carré intégrable par rapport à une mesure admettant des moments d'indice relatif. Ensuite, nous montrons que l'espace des polynômes de Laurent est dense dans A^2(µ) cela nous permet de définir de façon claire les opérateurs de Hankel et étudier leurs propriétés spectrales. En particulier, pour de nombreux exemples, nous établissons des conditions nécessaires et suffisantes, en termes des moments, garantissant la continuité, la compacité et l'appartenance aux classes de Schatten de ces opérateurs de Hankel
Continuity of *-representation and Hankel operators This thesis consists of two independent parts. In the first part of this work, we establish a necessary and sufficient condition for a *-representation a *-semigroup abelian topological S is continuous at the identity e of S. The results are obtained by means of a theorem of integral representation with respect to a measure supported by continuous semi characters. We then give several applications of these results. The second part of this thesis deals with Hankel operators anti-meromorphic symbols on an annulus. In the first place we put in place the framework of the general theory of Hankel operators associated with a Hilbert space of holomorphic functions A^2(μ) of square integrable with respect to a measure admitting relative index times. Next, we show that the space of Laurent polynomials is dense in A ^ 2 ( μ ) it allows us to clearly define the Hankel operators and study their spectral properties. In particular, many examples, we establish necessary and sufficient conditions, in terms of time, ensuring continuity compactness and Schatten classes of membership of the Hankel operators

Cette thèse est constituée de deux volets principaux, le premier volet est consacré à l'étude des opérateurs de Hankel de symboles antiméromorphes, plus précisément, on s'intéresse à la possibilité d'obtenir des opérateurs de Hankel bornés (resp. compacts, dans les classes de Schatten) dont les symboles ne sont pas nécessairement des polynômes.Nous allons donner dans un premier temps, des conditions nécessaires et suffisantes pour que l'opérateur H_{f} définit sur une couronne dans le plan complexe, soit borné (resp. compact, dans la p-ième classe de Schatten) et nous allons traiter des exemples sur les quels nous montrons que les opérateurs de Hankel H_{f} et H_{Uf} sont bornés simultanément (resp. compacts, dans les classes de Schatten) si et seulement si f est un polynôme de Laurent et les conditions établies portent sur son L-degré.Le deuxième volet traite les propriétés spectrales en commun des opérateurs A et B vérifiant l'équation A²=ABA et B²=BAB. Nous allons généraliser les résultats de Christopher Schmoeger sur l'égalité des différents spectres de ces opérateurs, ensuite nous allons élargir le champ d'étude de ces opérateurs dans la direction de la théorie spectrale locale (Propriété de l'extension unique, décomposabilité...)
This thesis consists of two main parts, the first part is devoted to the study of Hankel operators of antiméromorphes symbols, more precisely, we are interested in the possibility of obtaining Hankel operators bounded (resp. compact, in Schatten classes) which the symbols are not necessarily polynomials.We will give in first step, the necessary and sufficient conditions for the operator H_ {f} defined on a ring in the complex plane is bounded (resp. compact in the p-th Schatten class) and we treat examples on which we show that the Hankel operators H_ {f} and H_ {Uf} are simultaneously bounded (resp. compact, in the Schatten classes) if and only if f is a Laurent polynomial and conditions set relate to its L-degree.The second part deals with common spectral properties of operators A and B satisfying the equation A ² = ABA and B ² = BAB. We will generalize the results of Christopher Schmoeger on equality different spectra of these operators, then we will expand the field of study of these operators in the direction of the local spectral theory (SVEP, Decomposability)

Hanoï, comme les autres villes asiatiques, est en train de faire face aux conséquences de l'urbanisation rapide. Les expériences des villes du monde nous montrent que l’agriculture urbaine est une solution efficace et durable pour les villes futures. Ce phénomène nous a donné une nouvelle façon de penser la ville qui n'est pas "non-agricole" comme les définitions traditionnelles. La transformation de l'agriculture urbaine à l'urb-agriculture, sera une nouvelle méthode de design des villes durables. Cette méthode de design doit être basée sur les ressources humaines et des connaissances de l'écologie urbaine. Actuellement à Hanoi, les espaces de micro agriculture urbaine s’installent spontanément et fonctionnent comme des activités d'auto alimentaire, de complément économique pour les foyers urbains. Pour développer durablement des espaces agricoles dans la ville de Hanoi, nous avons besoin de créer les systèmes complexes et bien connectés sur plusieurs échelles des espaces, en mettant en valeur des ressources naturelles et humaines qui sont les points fortes de la ville. Ensuite, dans la planification de Hanoï en 2030, la vision jusqu'à 2050, un des enjeux les plus importants est la structure de corridor et ceinture verte où se sont développés de façon équilibrée les éléments technologiques, historiques, culturels et naturels, vers l'image d'une ville verte. C’est la raison pour laquelle nous pensons à exploiter nos ressources et nos points forts d'une application du design de l'urb-agriculture pour cette structure verte. En effet, l'agriculture peut contribue directement au paysage, en créant l'image symbolique d'une ville verte. Cette méthode de design deviendra donc une solution raisonnable et réalisable pour Hanoï et les autres villes vietnamiennes
Hanoi, like another Asian cities, have the consequences of rapid urbanization. To satisfy the growing needs of housing, employment, urban services, planning needs important financial sources, currently limited, or a change in the way of thinking and in the methods of urban design. The experiences of cities around the world show us that urban agriculture is an effective and sustainable solution for future cities. This phenomenon has given us a new way of thinking about the city that is not "non-agricultural" as the traditional definitions. The transformation of urban agriculture into “urb-agriculture” will be a new method of designing sustainable cities. This method of design must be based on human resources and knowledge of urban ecology. In Hanoi, the micro-urban-agricultural land settle spontaneously and function as self-food activities or as an economic complement for urban families. To develop sustainably agricultural areas in Hanoi City, we need to create complex and well connected systems of urban-agricultural land on several scales, highlighting the natural and human resources that are the strong points of the city. Then, in the planning of Hanoi in 2030, the vision until 2050, one of the most important issues is structure of the “ green corridor” and “green belt”, where the technological, historical, cultural and natural elements will be developed in a balanced way, towards Image of a “green city”. This is why we intend to exploit our resources and our strengths from an application of the urban agriculture design (urb-agriculture) for this green structure. Indeed, agriculture will contribute directly to the symbolic image of a “green city”. In these green cities, we will build a lasting relationship between humans and nature, an ecological, sustainable and intelligent living with environment. This method of design will become a reasonable and feasible solution for Hanoi and other Vietnamese cities

Doutoramento em Matemática
Na presente tese consideramos combinações algébricas de operadores de Wiener-Hopf e de Hankel com diferentes classes de símbolos de Fourier. Nomeadamente, foram considerados símbolos matriciais na classe de elementos quase periódicos, semi-quase periódicos, quase periódicos por troços e certas funções matriciais sectoriais. Adicionalmente, foi dedicada atenção também aos operadores de Toeplitz mais Hankel com símbolos quase periódicos por troços e com símbolos escalares possuindo n pontos de discontinuidades quase periódicas usuais. Em toda a tese, um objectivo principal teve a ver com a obtenção de descrições para propriedades de Fredholm para estas classes de operadores. De forma a deduzir a invertibilidade lateral ou bi-lateral para operadores de Wiener-Hopf mais Hankel com símbolos matriciais AP foi introduzida a noção de factorização assimétrica AP. Neste âmbito, foram dadas condições suficientes para a invertibilidade lateral e bi-lateral de operadores de Wiener- Hopf mais Hankel com símbolos matriciais AP. Para tais operadores, foram ainda exibidos inversos generalizados para todos os casos possíveis. Para os operadores de Wiener-Hopf-Hankel com símbolos matriciais SAP e PAP foi deduzida a propriedade de Fredholm e uma fórmula para a soma dos índices de Fredholm destes operadores de Wiener-Hopf mais Hankel e operadores de Wiener-Hopf menos Hankel. Uma versão mais forte destes resultados foi obtida usando a factorização generalizada AP à direita. Foram analisados os operadores de Wiener-Hopf-Hankel com símbolos que apresentam determinadas propriedades pares e também com símbolos de Fourier que contêm matrizes sectoriais. Em adição, para operadores de Wiener-Hopf-Hankel, foi obtido um resultado correspondente ao teorema clássico de Douglas e Sarason conhecido para operadores de Toeplitz com símbolos sectoriais e unitários. Condições necessárias e suficientes foram também deduzidas para que os operadores de Wiener-Hopf mais Hankel com símbolos L∞ sejam de Fredholm (ou invertíveis). Para se obter tal resultado, trabalhou-se com certas factorizações ímpares dos símbolos de Fourier. Os operadores de Toeplitz mais Hankel gerados por símbolos que possuem n pontos de discontinuidades quase periódicas usuais foram também considerados. Foram obtidas condições sob as quais estes operadores são invertíveis à direita e com dimensão de núcleo infinita, invertíveis à esquerda e com dimensão de co-núcleo infinita ou não normalmente solúveis. A nossa atenção foi também colocada em operadores de Toeplitz mais Hankel com símbolos matriciais contínuos por troços. Para tais operadores, condições necessárias e suficientes foram obtidas para se ter a propriedade de Fredholm. Tal foi realizado usando a abordagem do cálculo simbólico, determinados operadores auxiliares emparelhados com símbolos semi-quase periódicos e várias relações de equivalência após extensão entre operadores.
In this thesis we considered algebraic combinations of Wiener-Hopf and Hankel operators with different classes of Fourier symbols. Namely, matrix symbols from the almost periodic, semi-almost periodic, piecewise almost periodic and certain sectorial matrix functions were considered. In addition, attention was also paid to Toeplitz plus Hankel operators with piecewise almost periodic symbols and with scalar symbols having n points of standard almost periodic discontinuities. In the entire thesis a main goal is to obtain Fredholm properties description of those classes of operators. To deduce the lateral or both sided invertibility theory for Wiener-Hopf plus Hankel operators with AP matrix symbols was introduced the notion of an AP asymmetric factorization. In this framework were given sufficient conditions for the lateral and both sided invertibility of the Wiener-Hopf plus Hankel operators with matrix AP symbols. For such kind of operators were also exhibited generalized inverses for all the possible cases. For the Wiener-Hopf-Hankel operators with matrix SAP and PAP symbols the Fredholm property and a formula for the sum of the Fredholm indices of these Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators were derived. A stronger version of these results was obtained by using the generalized right AP factorization. It was analyzed the Wiener-Hopf-Hankel operators with symbols presenting some even properties, and also with Fourier symbols which contain sectorial matrices. In addition, for Wiener-Hopf-Hankel operators, it was obtained a corresponding result to the classical theorem by Douglas and Sarason known for Toeplitz operators with sectorial and unitary valued symbols. Necessary and sufficient condition for the Wiener-Hopf plus Hankel operators with L∞ symbols to be Fredholm (or invertible) were also derived. To obtain such a result we dealt with certain odd asymmetric factorization of the Fourier symbols. The Toeplitz plus Hankel operators generated by symbols which have n points of standard almost periodic discontinuities were also considered. Conditions were obtained under which these operators are right-invertible and with infinite kernel dimension, left-invertible and with infinite cokernel dimension or simply not normally solvable. We also focused our attention to Toeplitz plus Hankel operators with piecewise almost periodic matrix symbols. For such operators necessary and sufficient conditions were obtained to have the Fredholm property. This was done using a symbol calculus approach, certain auxiliary paired operators with semi-almost periodic symbols, and several equivalence after extension operator relations.

In this thesis, for a given weight function w(x), supported on [A,B]\subseteq\mathbb{R}, we consider the sequence of monic polynomials orthogonal with respect to w(x), and the Hankel determinant D_n=\det(\mu_{j+k})_{j,k=0}^{n-1}, generated from the moments \mu_j of w(x). A motivating factor for studying such objects is that by observing the Andreief-Heine identity, these determinants represent the partition function of a Hermitian random matrix ensemble. It is well known that the Hankel determinant can be computed via the product of L^2 norms over [A,B]\subseteq\mathbb{R} of the orthogonal polynomials associated with w(x). Since such polynomials satisfy a three-term recurrence relation, we also study the behaviour of the recurrence coefficients, denoted by \alpha_n and \beta_n, as these are intimately related to the behaviour of D_n. We consider orthogonal polynomials and Hankel determinants associated with the following two weight functions: First, we consider a deformation of the Jacobi weight, given by w(x)=(1-x^2)^{\apha} (1-k^2x^2)^{\beta}, x\in[-1,1], \alpha>-1, \beta\in\mathbb{R}, k^2\in(0,1). This is a generalization of a system of orthogonal polynomials studied by C. J. Rees in 1945. Such orthogonal polynomials are of great interest because the corresponding Hankel determinant is related to the \tau-function of a Painlevé VI differential equation, the special cases of which are related to enumerative problems arising from String theory. For finite n---we employ the orthogonal polynomial ladder operators (formulae that raise or lower the index of the polynomial) to find equations for auxiliary quantities defined by the corresponding orthogonal polynomials, from which we derive differential identities satisfied by the Hankel determinant, and differential-difference identities for the recurrence coefficients \alpha_n and \beta_n. Making use of the ladder operators, we find that the recurrence coefficient \beta_n(k^2), n=1,2,...; and P_1(n,k^2), the coefficient of x^{n-2} of the corresponding monic orthogonal polynomials, satisfy second order non-linear difference equations. The large n expansion based on the difference equations when combined Toda-type differential relations satisfied by the associated Hankel determinant yields a complete asymptotic expansion of D_n. The finite n representation of D_n in terms of a particular Painlevé VI equation is also discussed as well as the generalization of the linear second order differential equation found by Rees. Second, we consider the deformed Laguerre weight: w(x)=x^{\alpha} e^{-x} (t+x)^{N_s} (T+x)^{-N_s}, x\in[0,\infty), \alpha>-1, T, t, N_s>0. This weight is of interest since it appears in the study of a multiple-antenna wireless communication scenario. The key quantity determining system performance is the statistical properties of the signal-to-noise ratio (SNR) \gamma, which recent work has characterized through its moment generating function, in terms of the Hankel determinant generated via our deformed Laguerre weight. We make use of the ladder operators to give an exact finite n characterization of the Hankel determinant in terms of a two-variable generalization of a Painlevé V differential equation, which reduces to Painlevé V under certain limits. We also employ Dyson's Coulomb fluid theory to derive an approximation for D_n---in the limit where n is large. The finite and large n characterizations are then used to compute closed-form (non-determinantal) expressions for the cumulants of the distribution of \gamma, and to compute wireless communication performance quantities of engineering interest.

Orientador: Silvio Seno Chibeni
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Filosofia e Ciencias Humanas
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Resumo: Este trabalho de investigação tem como objetivo expor, explicitar, exemplificar e aperfeiçoar as contribuições de Norwood Hanson à metodologia da investigação científica. Com esta finalidade, em primeiro lugar me ocupo das críticas elaboradas por este autor à polarização metodológica clássica entre os contextos de justificação e de descoberta. Em segundo lugar, desenvolvo a proposta de Hanson de um conjunto de regras ou 'critérios' para retratar um domínio de racionalidade científica maior que o estabelecido: a metodologia da plausibilidade. Esta metodologia, tal como defendo, é para Hanson um conjunto de critérios para avaliar a plausibilidade de hipóteses já descobertas (em particular, hipóteses de trabalho) e não um conjunto de critérios ou uma 'máquina' para fazer descobertas ou gerar novas hipóteses -idéia defendida por outros autores. Por último, mediante a formulação de exemplos, analiso a metodologia da plausibilidade de Hanson dentro do continuum de investigação científica, e defendo que ela pode formar uma instância de avaliação independenteda de justificação
Abstract: The goal ofthis work is to present, to exemplify,and to improveNorwood Hanson's contributions to the methodology of scientific inquiry. Aiming to these goals, first I analyze Hanson's criticisms to the classic dichotomy between context of justification and context of discovery. Secondly, I develop his methodology of plausibility; that is, the set of 'criteria' that describe an area or scientific rationality greater than the traditional one. I support that this methodology was used by Hanson as a set of criteria for evaluating the plausibility of already advanced hypotheses (in special, working hypothesis) and not as a set of criteria or a 'machine' for discovering or generating new hypotheses. Last1y, I analyze -by means of different examples- the methodology of plausibility as it works within the continuum of scientific research, and I maintain that this methodology may constitute an instance of evaluation independent from the instance of justification
Mestrado
Mestre em Filosofia

Doutoramento em Matemática
Nesta tese estudamos as propriedades de regularidade de operadores de Wiener-Hopf-Hankel com símbolos de Fourier pertencentes às álgebras das funções quase periódicas, das funções semi-quase periódicas e das funções quase periódicas por troços e consideramos estes operadores a actuar entre espaços de Lebesgue Lp (para 1In this thesis we study the regularity properties of Wiener-Hopf-Hankel operators with Fourier symbols belonging to the algebras of almost periodic, semi-almost periodic and piecewise almost periodic functions and we consider these operators acting between Lp Lebesgue spaces (for 1