Relevant bibliographies by topics / Analytic Hilbert Spaces / Dissertations / Theses
To see the other types of publications on this topic, follow the link: Analytic Hilbert Spaces.

Dissertations / Theses on the topic 'Analytic Hilbert Spaces'

Author: Grafiati
Published: 6 September 2023
Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 dissertations / theses for your research on the topic 'Analytic Hilbert Spaces.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Ameur, Yacin. "Interpolation of Hilbert spaces /." Uppsala : Matematiska institutionen, Univ. [distributör], 2001. http://publications.uu.se/theses/91-506-1531-9/.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Harris, Terri Joan Mrs. "HILBERT SPACES AND FOURIER SERIES." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/244.

Full text
Abstract:
I give an overview of the basic theory of Hilbert spaces necessary to understand the convergence of the Fourier series for square integrable functions. I state the necessary theorems and definitions to understand the formulations of the problem in a Hilbert space framework, and then I give some applications of the theory along the way.
APA, Harvard, Vancouver, ISO, and other styles
3

Lapinski, Felicia. "Hilbert spaces and the Spectral theorem." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-454412.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Sorensen, Julian Karl. "White noise analysis and stochastic evolution equations." Title page, contents and abstract only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phs713.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Tipton, James Edward. "Reproducing Kernel Hilbert spaces and complex dynamics." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2284.

Full text
Abstract:
Both complex dynamics and the theory of reproducing kernel Hilbert spaces have found widespread application over the last few decades. Although complex dynamics started over a century ago, the gravity of it's importance was only recently realized due to B.B. Mandelbrot's work in the 1980's. B.B. Mandelbrot demonstrated to the world that fractals, which are chaotic patterns containing a high degree of self-similarity, often times serve as better models to nature than conventional smooth models. The theory of reproducing kernel Hilbert spaces also having started over a century ago, didn't pick u
APA, Harvard, Vancouver, ISO, and other styles
6

Giulini, Ilaria. "Generalization bounds for random samples in Hilbert spaces." Thesis, Paris, Ecole normale supérieure, 2015. http://www.theses.fr/2015ENSU0026/document.

Full text
Abstract:
Ce travail de thèse porte sur l'obtention de bornes de généralisation pour des échantillons statistiques à valeur dans des espaces de Hilbert définis par des noyaux reproduisants. L'approche consiste à obtenir des bornes non asymptotiques indépendantes de la dimension dans des espaces de dimension finie, en utilisant des inégalités PAC-Bayesiennes liées à une perturbation Gaussienne du paramètre et à les étendre ensuite aux espaces de Hilbert séparables. On se pose dans un premier temps la question de l'estimation de l'opérateur de Gram à partir d'un échantillon i. i. d. par un estimateur robu
APA, Harvard, Vancouver, ISO, and other styles
7

Awunganyi, John. "A study of optimization in Hilbert Space." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1459.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Zandler, Andersson Nils. "Boundedness of a Class of Hilbert Operators on Modulation Spaces." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-84932.

Full text
Abstract:
In this work we take interest in frames and modulation spaces. On the basis of their properties, we show how frame expansions can be used to prove the boundedness of a particular class of Hilbert operators on modulation spaces taking advantage of the special category of piece-wise polynomial functions known as B-splines.
APA, Harvard, Vancouver, ISO, and other styles
9

Leon, Ralph Daniel. "Module structure of a Hilbert space." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2469.

Full text
Abstract:
This paper demonstrates the properties of a Hilbert structure. In order to have a Hilbert structure it is necessary to satisfy certain properties or axioms. The main body of the paper is centered on six questions that develop these ideas.
APA, Harvard, Vancouver, ISO, and other styles
10

Agora, Elona. "Boundedness of the Hilbert Transform on Weighted Lorentz Spaces." Doctoral thesis, Universitat de Barcelona, 2012. http://hdl.handle.net/10803/108930.

Full text
Abstract:
The main goal of this thesis is to characterize the weak-type (resp. strong-type) boundedness of the Hilbert transform H on weighted Lorentz spaces Λpu(w). The characterization is given in terms of some geometric conditions on the weights u and w and the weak-type (resp. strong-type) boundedness of the Hardy-Littlewood maximal operator on the same spaces. Our results extend and unify simultaneously the theory of the boundedness of H on weighted Lebesgue spaces Lp(u) and Muckenhoupt weights Ap, and the theory on classical Lorentz spaces Λp(w) and Ariño-Muckenhoupt weights Bp.<br>Títol:
APA, Harvard, Vancouver, ISO, and other styles
11

Paiva, António R. C. "Reproducing kernel Hilbert spaces for point processes, with applications to neural activity analysis." [Gainesville, Fla.] : University of Florida, 2008. http://purl.fcla.edu/fcla/etd/UFE0022471.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Al-Naggar, Ibtesam M. Abu-Sulayman. "Asymptotics for the solution of the Schrödinger equation". Thesis, University of Hull, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262439.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Sabree, Aqeeb A. "Positive definite kernels, harmonic analysis, and boundary spaces: Drury-Arveson theory, and related." Diss., University of Iowa, 2019. https://ir.uiowa.edu/etd/7023.

Full text
Abstract:
A reproducing kernel Hilbert space (RKHS) is a Hilbert space $\mathscr{H}$ of functions with the property that the values $f(x)$ for $f \in \mathscr{H}$ are reproduced from the inner product in $\mathscr{H}$. Recent applications are found in stochastic processes (Ito Calculus), harmonic analysis, complex analysis, learning theory, and machine learning algorithms. This research began with the study of RKHSs to areas such as learning theory, sampling theory, and harmonic analysis. From the Moore-Aronszajn theorem, we have an explicit correspondence between reproducing kernel Hilbert spaces (RKHS
APA, Harvard, Vancouver, ISO, and other styles
14

Montgomery, Jason W. "Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation." Thesis, University of North Texas, 2014. https://digital.library.unt.edu/ark:/67531/metadc699977/.

Full text
Abstract:
A steepest descent method is constructed for the general setting of a linear differential equation paired with uniqueness-inducing conditions which might yield a generally overdetermined system. The method differs from traditional steepest descent methods by considering the conditions when defining the corresponding Sobolev space. The descent method converges to the unique solution to the differential equation so that change in condition values is minimal. The system has a solution if and only if the first iteration of steepest descent satisfies the system. The finite analogue of the descent m
APA, Harvard, Vancouver, ISO, and other styles
15

Donnelly, Roderick Kerry Carleton University Dissertation Mathematics. "Some contributions to analysis; a new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space." Ottawa, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
16

Agrawal, Devanshu. "The Complete Structure of Linear and Nonlinear Deformations of Frames on a Hilbert Space." Digital Commons @ East Tennessee State University, 2016. https://dc.etsu.edu/etd/3003.

Full text
Abstract:
A frame is a possibly linearly dependent set of vectors in a Hilbert space that facilitates the decomposition and reconstruction of vectors. A Parseval frame is a frame that acts as its own dual frame. A Gabor frame comprises all translations and phase modulations of an appropriate window function. We show that the space of all frames on a Hilbert space indexed by a common measure space can be fibrated into orbits under the action of invertible linear deformations and that any maximal set of unitarily inequivalent Parseval frames is a complete set of representatives of the orbits. We show that
APA, Harvard, Vancouver, ISO, and other styles
17

Grip, Niklas. "Hilbert space frames and bases : a comparison of Gabor and wavelet frames and applications to multicarrier digital communications." Licentiate thesis, Luleå tekniska universitet, Matematiska vetenskaper, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-18012.

Full text
Abstract:
Several signal processing applications today are based on the use of different transforms. The signals under consideration are written as a linear combination (or series) of some predefined set of functions. Traditionally, orthogonal bases have been used for this purpose, for example, in the discrete Fourier transform. The theory for orthogonal bases for Hilbert spaces can, however, be generalized to other sequences of functions, called frames. The first part of this thesis begins with an application-oriented introduction to the theory of frames and bases for separable Hilbert spaces. We expla
APA, Harvard, Vancouver, ISO, and other styles
18

Lopez, Jerry. "Optimal Dual Frames for Erasures and Discrete Gabor Frames." Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4124.

Full text
Abstract:
Since their discovery in the early 1950's, frames have emerged as an important tool in areas such as signal processing, image processing, data compression and sampling theory, just to name a few. Our purpose of this dissertation is to investigate dual frames and the ability to find dual frames which are optimal when coping with the problem of erasures in data transmission. In addition, we study a special class of frames which exhibit algebraic structure, discrete Gabor frames. Much work has been done in the study of discrete Gabor frames in Rn, but very little is known about the l2(Z) case or
APA, Harvard, Vancouver, ISO, and other styles
19

Miranda, Navarro Maria. "Comparative Study of Several Bases in Functional Analysis." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-150462.

Full text
Abstract:
From the beginning of the study of spaces in functional analysis, bases have been an indispensable tool for operating with vectors and functions over a concrete space. Bases can be organized by types, depending on their properties. This thesis is intended to give an overview of some bases and their relations. We study Hamel basis, Schauder basis and Orthonormal basis; we give some properties and compare them in different spaces, explaining the results. For example, an infinite dimensional Hilbert space will never have a basis which is a Schauder basis and a Hamel basis at the same time, but if
APA, Harvard, Vancouver, ISO, and other styles
20

Chemistruck, Heather Michelle. "A Galerkin Approach to Define Measured Terrain Surfaces with Analytic Basis Vectors to Produce a Compact Representation." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/29585.

Full text
Abstract:
The concept of simulation-based engineering has been embraced by virtually every research and industry sector (Sinha, Liang et al. 2001; Mocko and Fenves 2003). Engineering and science communities have become increasingly aware that computer simulation is an indispensable tool for resolving a multitude of scientific and technological problems. It is clearly desirable to gain a reliable perspective on the behaviour of a system early in the design stage, long before building costly prototypes (Chul and Ro 2002; Letherwood, Gunter et al. 2004; Makarand Datar 2007; Ersal, Fathy et al. 2008; Muel
APA, Harvard, Vancouver, ISO, and other styles
21

Nascimento, Carlos Alberto do. "Estudo sobre espaços de Banach e de Hilbert com aplicações em equações diferenciais, integrais e teoria da aproximação." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/154152.

Full text
Abstract:
Submitted by Carlos Alberto Do Nascimento (prof.math.edu@gmail.com) on 2018-06-04T20:15:40Z No. of bitstreams: 1 Dissertação.pdf: 2749900 bytes, checksum: d578113faba2ff3354a375ae6c4e7e1e (MD5)<br>Approved for entry into archive by Ana Paula Santulo Custódio de Medeiros null (asantulo@rc.unesp.br) on 2018-06-05T12:25:11Z (GMT) No. of bitstreams: 1 nascimento_ca_me_rcla.pdf: 2739624 bytes, checksum: c8831bbd095a228cff3121b4621d7091 (MD5)<br>Made available in DSpace on 2018-06-05T12:25:12Z (GMT). No. of bitstreams: 1 nascimento_ca_me_rcla.pdf: 2739624 bytes, checksum: c8831bbd095a228cff3121b
APA, Harvard, Vancouver, ISO, and other styles
22

Kidzinski, Lukasz. "Inference for stationary functional time series: dimension reduction and regression." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209226.

Full text
Abstract:
Les progrès continus dans les techniques du stockage et de la collection des données permettent d'observer et d'enregistrer des processus d’une façon presque continue. Des exemples incluent des données climatiques, des valeurs de transactions financières, des modèles des niveaux de pollution, etc. Pour analyser ces processus, nous avons besoin des outils statistiques appropriés. Une technique très connue est l'analyse de données fonctionnelles (ADF).<p><p>L'objectif principal de ce projet de doctorat est d'analyser la dépendance temporelle de l’ADF. Cette dépendance se produit, par exemple, si
APA, Harvard, Vancouver, ISO, and other styles
23

Chakmak, Ryan. "Eigenvalues and Approximation Numbers." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/cmc_theses/2167.

Full text
Abstract:
While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples.
APA, Harvard, Vancouver, ISO, and other styles
24

Shin, Hyejin. "Infinite dimensional discrimination and classification." Texas A&M University, 2003. http://hdl.handle.net/1969.1/5832.

Full text
Abstract:
Modern data collection methods are now frequently returning observations that should be viewed as the result of digitized recording or sampling from stochastic processes rather than vectors of finite length. In spite of great demands, only a few classification methodologies for such data have been suggested and supporting theory is quite limited. The focus of this dissertation is on discrimination and classification in this infinite dimensional setting. The methodology and theory we develop are based on the abstract canonical correlation concept of Eubank and Hsing (2005), and motivated by the
APA, Harvard, Vancouver, ISO, and other styles
25

Abdellaoui, Taoufiq. "Distances de deux lois dans les espaces de Banach." Rouen, 1994. http://www.theses.fr/1994ROUE5003.

Full text
Abstract:
La distance entre deux lois est étudiée lorsque les probabilités sont définies sur un espace de Banach séparable. Nous montrons que cette distance est atteinte par une fonction, dite associée, lorsque l'une des lois est diffuse l'autre discrète. Une condition nécessaire et suffisante pour reconnaitre le caractère associé est donnée par la cyclique monotonie. De plus un algorithme est donné pour obtenir de manière effective la fonction associée. Lorsque nous sommes dans un Hilbert séparable ces résultats sont étendus en utilisant des techniques de sous-gradients et d'analyse convexe
APA, Harvard, Vancouver, ISO, and other styles
26

Klepsch, Johannes [Verfasser], Claudia [Akademischer Betreuer] [Gutachter] Klüppelberg, Alexander [Gutachter] Aue, and Klaus [Gutachter] Mainzer. "Time series analysis in Hilbert spaces : Estimation of functional linear processes and prediction of traffic / Johannes Klepsch ; Gutachter: Alexander Aue, Klaus Mainzer, Claudia Klüppelberg ; Betreuer: Claudia Klüppelberg." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/1130323218/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Torgovitski, Leonid [Verfasser], Josef G. [Gutachter] Steinebach, WOLFGANG [Gutachter] WEFELMEYER, and Piotr S. [Gutachter] Kokoszka. "Hilbert Space Valued Signal Plus Noise Models: Analysis of Structural Breaks under High Dimensionality and Temporal Dependence / Leonid Torgovitski ; Gutachter: Josef G. Steinebach, Wolfgang Wefelmeyer, Piotr S. Kokoszka." Köln : Universitäts- und Stadtbibliothek Köln, 2016. http://d-nb.info/1122262329/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Ke, Chenlu. "A NEW INDEPENDENCE MEASURE AND ITS APPLICATIONS IN HIGH DIMENSIONAL DATA ANALYSIS." UKnowledge, 2019. https://uknowledge.uky.edu/statistics_etds/41.

Full text
Abstract:
This dissertation has three consecutive topics. First, we propose a novel class of independence measures for testing independence between two random vectors based on the discrepancy between the conditional and the marginal characteristic functions. If one of the variables is categorical, our asymmetric index extends the typical ANOVA to a kernel ANOVA that can test a more general hypothesis of equal distributions among groups. The index is also applicable when both variables are continuous. Second, we develop a sufficient variable selection procedure based on the new measure in a large p small
APA, Harvard, Vancouver, ISO, and other styles
29

Varagnolo, Damiano. "Distributed Parametric-Nonparametric Estimation in Networked Control Systems." Doctoral thesis, Università degli studi di Padova, 2011. http://hdl.handle.net/11577/3421610.

Full text
Abstract:
In the framework of parametric and nonparametric distributed estimation, we introduce and mathematically analyze some consensus-based regression strategies characterized by a guess of the number of agents in the network as a parameter. The parametric estimators assume a-priori information about the finite set of parameters to be estimated, while the the nonparametric use a reproducing kernel Hilbert space as the hypothesis space. The analysis of the proposed distributed regressors offers some sufficient conditions assuring the estimators to perform better, under the variance of the estimation
APA, Harvard, Vancouver, ISO, and other styles
30

Henchiri, Yousri. "L'approche Support Vector Machines (SVM) pour le traitement des données fonctionnelles." Thesis, Montpellier 2, 2013. http://www.theses.fr/2013MON20187/document.

Full text
Abstract:
L'Analyse des Données Fonctionnelles est un domaine important et dynamique en statistique. Elle offre des outils efficaces et propose de nouveaux développements méthodologiques et théoriques en présence de données de type fonctionnel (fonctions, courbes, surfaces, ...). Le travail exposé dans cette thèse apporte une nouvelle contribution aux thèmes de l'apprentissage statistique et des quantiles conditionnels lorsque les données sont assimilables à des fonctions. Une attention particulière a été réservée à l'utilisation de la technique Support Vector Machines (SVM). Cette technique fait interv
APA, Harvard, Vancouver, ISO, and other styles
31

Schöckel, Thomas. "Aspekte unendlichdimensionaler Martingaltheorie und ihre Anwendung in der Theorie der Finanzmärkte." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2004. http://dx.doi.org/10.18452/15138.

Full text
Abstract:
Wir modellieren einen Finanzmarkt mit unendlich vielen Wertpapieren als stochastischen Prozeß X in stetiger Zeit mit Werten in einem separablen Hilbertraum H. In diesem Rahmen zeigen wir die Äquivalenz von Vollständigkeit des Marktes und der Eindeutigkeit des äquivalenten Martingalmaßes unter der Bedingung, daß X stetige Pfade besitzt. Weiter zeigen wir, daß (unter gewissen technischen Bedingungen) für X die Abwesenheit von asymptotischer Arbitrage der ersten/zweiten Art (im Sinne von Kabanov/Kramkov) äquivalent zur Absolutstetigkeit des Referenzmaßes zu einem eindeutigen, lokal äquivalenten M
APA, Harvard, Vancouver, ISO, and other styles
32

Saide, Chafic. "Filtrage adaptatif à l’aide de méthodes à noyau : application au contrôle d’un palier magnétique actif." Thesis, Troyes, 2013. http://www.theses.fr/2013TROY0018/document.

Full text
Abstract:
L’estimation fonctionnelle basée sur les espaces de Hilbert à noyau reproduisant demeure un sujet de recherche actif pour l’identification des systèmes non linéaires. L'ordre du modèle croit avec le nombre de couples entrée-sortie, ce qui rend cette méthode inadéquate pour une identification en ligne. Le critère de cohérence est une méthode de parcimonie pour contrôler l’ordre du modèle. Le modèle est donc défini à partir d'un dictionnaire de faible taille qui est formé par les fonctions noyau les plus pertinentes.Une fonction noyau introduite dans le dictionnaire y demeure même si la non-stat
APA, Harvard, Vancouver, ISO, and other styles
33

Rossi, Dario. "Fracton phases: analytical description and simulations of their thermal behavior." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23919/.

Full text
Abstract:
Many-body physics studies the collective behavior of systems with a large number of microscopic constituents. The interaction between the fundamental particles creates a common behavior within the system with emergent excitations exhibiting uncommon characteristics. In three spatial dimensions it has recently been found that a new kind of particles can exist characterized by a fractionalized mobility, being either immobile or mobile only along sub-dimensional spaces: fractons. In this thesis I explore fracton phases focusing on their topological and thermal properties. Fractons can be explai
APA, Harvard, Vancouver, ISO, and other styles
34

Nikbakht, Silab Rasoul. "Unsupervised learning for parametric optimization in wireless networks." Doctoral thesis, Universitat Pompeu Fabra, 2021. http://hdl.handle.net/10803/671246.

Full text
Abstract:
This thesis studies parametric optimization in cellular and cell-free networks, exploring data-based and expert-based paradigms. Power allocation and power control, which adjust the transmit power to meet different fairness criteria such as max-min or max-product, are crucial tasks in wireless communications that fall into the parametric optimization category. The state-of-the-art approaches for power control and power allocation often demand huge computational costs and are not suitable for real-time applications. To address this issue, we develop a general-purpose unsupervised-learning appro
APA, Harvard, Vancouver, ISO, and other styles
35

Basley, Jérémy. "An Experimental Investigation on Waves and Coherent Structures in a Three-Dimensional Open Cavity Flow." Thesis, Paris 11, 2012. http://www.theses.fr/2012PA112245/document.

Full text
Abstract:
Une écoulement de cavité ouverte tridimensionnel saturé non-linéairement est étudié par une approche spatio-temporelle utilisant des données expérimentales résolues à la fois en temps et en espace. Ces données ont été acquises dans deux plans longitudinaux, respectivement perpendiculaire et parallèle au fond de la cavité, dans le régime incompressible, en air ou en eau. À l'aide de multiples méthodes de décompositions globales en temps et en espace, les ondes et les structures cohérentes constituant la dynamique dans le régime permanent et pouvant être produites par des mécanismes d'instabilit
APA, Harvard, Vancouver, ISO, and other styles
36

Bhattacharjee, Monojit. "Analytic Models, Dilations, Wandering Subspaces and Inner Functions." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4241.

Full text
Abstract:
This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main contribution of this thesis is twofold: dilation and analytic model theory for n-tuples of (1) commuting contractions (in the setting of the unit polydisc), and (2) commuting row contractions (in the setting of the unit ball). On n-tuples of commuting contractions: We study analytic models of operators with some positivity assumptions and quotient modules of function Hilbert spac
APA, Harvard, Vancouver, ISO, and other styles
37

Chandel, Vikramjeet Singh. "The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/3700.

Full text
Abstract:
The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find necessary and sufficient conditions for the existence of a holomorphic map F : D1 ! D2 such that F¹ziº = wi, 1 i N. When such a map F exists, we say that F is an interpolant of the data. Of course, this problem is intractable at the above level of generality. However, two special cases of the problem — which we shall study in this thesis — have been of lasting interest: Interp
APA, Harvard, Vancouver, ISO, and other styles
38

Chandel, Vikramjeet Singh. "The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains." Thesis, 2017. http://etd.iisc.ernet.in/2005/3700.

Full text
Abstract:
The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find necessary and sufficient conditions for the existence of a holomorphic map F : D1 ! D2 such that F¹ziº = wi, 1 i N. When such a map F exists, we say that F is an interpolant of the data. Of course, this problem is intractable at the above level of generality. However, two special cases of the problem — which we shall study in this thesis — have been of lasting interest: Interp
APA, Harvard, Vancouver, ISO, and other styles
39

Sorensen, Julian Karl. "White noise analysis and stochastic evolution equations / Julian Sorensen." Thesis, 2001. http://hdl.handle.net/2440/19834.

Full text
APA, Harvard, Vancouver, ISO, and other styles
40

Turner, Matthew D. "Explicit Lp-norm estimates of infinitely divisible random vectors in Hilbert spaces with applications." 2011. http://trace.tennessee.edu/utk_graddiss/1035.

Full text
Abstract:
I give explicit estimates of the Lp-norm of a mean zero infinitely divisible random vector taking values in a Hilbert space in terms of a certain mixture of the L2- and Lp-norms of the Levy measure. Using decoupling inequalities, the stochastic integral driven by an infinitely divisible random measure is defined. As a first application utilizing the Lp-norm estimates, computation of Ito Isomorphisms for different types of stochastic integrals are given. As a second application, I consider the discrete time signal-observation model in the presence of an alpha-stable noise environment. Formulati
APA, Harvard, Vancouver, ISO, and other styles
41

王逢盛. "Approximation methods in a Hilbert space for heat transfer, system analysis and optimal control." Thesis, 1986. http://ndltd.ncl.edu.tw/handle/66047063856174145052.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Carter, James Michael. "Commutants of composition operators on the Hardy space of the disk." 2013. http://hdl.handle.net/1805/3659.

Full text
Abstract:
Indiana University-Purdue University Indianapolis (IUPUI)<br>The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbols. In particular, we show in Chapter 5 that the commutant of the semigroup of operators is in one-to-one correspondence with a Banach algebra of bounded analytic functions on an open half-plane. This algebra of functions is a subalgebra of the standard Newton space. Chapter 4 extends previous work done on maps with interior fixed point t
APA, Harvard, Vancouver, ISO, and other styles
43

Thompson, Derek Allen. "Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk." 2014. http://hdl.handle.net/1805/3881.

Full text
Abstract:
Indiana University-Purdue University Indianapolis (IUPUI)<br>Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as certain restrictions of the unilateral shift on the Hardy space of the disk. A composition operator with symbol fixing 0 has a nested sequence of invariant subspaces, and if the symbol is linear fractional and extremally noncompact, the restrictions to these subspaces all have the same norm and spectrum. Despite this evidence, we will use se
APA, Harvard, Vancouver, ISO, and other styles
44

Martin, Robert. "Bandlimited functions, curved manifolds, and self-adjoint extensions of symmetric operators." Thesis, 2008. http://hdl.handle.net/10012/3698.

Full text
Abstract:
Sampling theory is an active field of research that spans a variety of disciplines from communication engineering to pure mathematics. Sampling theory provides the crucial connection between continuous and discrete representations of information that enables one store continuous signals as discrete, digital data with minimal error. It is this connection that allows communication engineers to realize many of our modern digital technologies including cell phones and compact disc players. This thesis focuses on certain non-Fourier generalizations of sampling theory and their applications. In
APA, Harvard, Vancouver, ISO, and other styles
45

Pal, Sourav. "Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction." Thesis, 2011. https://etd.iisc.ac.in/handle/2005/2182.

Full text
Abstract:
A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant S of P, we seek a solution of the operator equation S –S*P = (I –P*P)½ X(I –P*P)½ where X is a bounded operator on Ran(I – P*P)½ with numerical radius of X being not greater than 1. We show the existence and uniqueness of solution to the operator equation above when (S,P) is a r-contraction. We call the unique solution, the fundamental operator of the r-contraction (S,P).
APA, Harvard, Vancouver, ISO, and other styles
46

Pal, Sourav. "Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction." Thesis, 2011. http://etd.iisc.ernet.in/handle/2005/2182.

Full text
Abstract:
A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant S of P, we seek a solution of the operator equation S –S*P = (I –P*P)½ X(I –P*P)½ where X is a bounded operator on Ran(I – P*P)½ with numerical radius of X being not greater than 1. We show the existence and uniqueness of solution to the operator equation above when (S,P) is a r-contraction. We call the unique solution, the fundamental operator of the r-contraction (S,P). As
APA, Harvard, Vancouver, ISO, and other styles
47

Rieger, Christian. "Sampling Inequalities and Applications." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-B3B9-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Hoang, Thai Duy. "Fourier and Variational Based Approaches for Fingerprint Segmentation." Doctoral thesis, 2015. http://hdl.handle.net/11858/00-1735-0000-0022-5FEF-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

Suresh, V. "Image Structures For Steganalysis And Encryption." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/2273.

Full text
Abstract:
In this work we study two aspects of image security: improper usage and illegal access of images. In the first part we present our results on steganalysis – protection against improper usage of images. In the second part we present our results on image encryption – protection against illegal access of images. Steganography is the collective name for methodologies that allow the creation of invisible –hence secret– channels for information transfer. Steganalysis, the counter to steganography, is a collection of approaches that attempt to detect and quantify the presence of hidden messages in
APA, Harvard, Vancouver, ISO, and other styles
50

Suresh, V. "Image Structures For Steganalysis And Encryption." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/2273.

Full text
Abstract:
In this work we study two aspects of image security: improper usage and illegal access of images. In the first part we present our results on steganalysis – protection against improper usage of images. In the second part we present our results on image encryption – protection against illegal access of images. Steganography is the collective name for methodologies that allow the creation of invisible –hence secret– channels for information transfer. Steganalysis, the counter to steganography, is a collection of approaches that attempt to detect and quantify the presence of hidden messages in c
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Analytic Hilbert Spaces' for other source types:
Journal articles Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography