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Dissertations / Theses on the topic 'Vector valued functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Barclay, Steven John. "Banach spaces of analytic vector-valued functions." Thesis, University of Leeds, 2007. http://etheses.whiterose.ac.uk/167/.

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The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter 2. Then ideas involving approximations with inner and outer functions are used to solve a matrix analogue of the Douglas-Rudin problem in Chapter 3. In both cases, considerable considerable extra difficulties are created by the noncommutativity of mat

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2

Hossain, M. Ayub. "The stochastic preference relations for vector valued attributes /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487331541711522.

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3

Kerr, Robert. "Toeplitz products and two-weight inequalities on spaces of vector-valued functions." Thesis, University of Glasgow, 2011. http://theses.gla.ac.uk/2469/.

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This thesis is concerned with operators on certain vector-valued function spaces. Namely, Bergman spaces of \mathbb{C}^n$-valued functions and L^2(\mathbb{R},\mathbb{C}^n,V)$, where $V$ is a matrix weight. We will study products of Toeplitz operators on the vector Bergman space $L^2_a(\mathbb{C}^n)$. We also study various operators, including the dyadic shift and the Hilbert transform, between $L^2(\mathbb{R},\mathbb{C}^n,V)$ and $L^2(\mathbb{R},\mathbb{C}^n,U)$. These function spaces are generalizations of normed vector spaces of functions which take values in $\mathbb{C}$. The thesis is spli

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4

Wahlberg, Patrik. "On time-frequency analysis and pseudo-differential operators for vector-valued functions." Doctoral thesis, Växjö universitet, Matematiska och systemtekniska institutionen, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2336.

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This thesis treats different aspects of time-frequency analysis and pseudodifferential operators, with particular emphasis on techniques involving vector-valued functions and operator-valued symbols. The vector (Banach) space is either motivated by an application as in Paper I, where it is a space of stochastic variables, or is part of a general problem as in Paper II, or arises naturally from problems for scalar-valued operators and function spaces, as in Paper V. Paper III and IV fall outside this framework and treats algebraic aspects of time-frequency analysis and pseudodifferential operat

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5

Oliver, Vendrell Roc. "Hankel operators on vector-valued Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2017. http://hdl.handle.net/10803/471520.

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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 t

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6

Vu, Anh Tuan [Verfasser]. "Lipschitz properties of vector- and set-valued functions with applications / Anh Tuan Vu." Halle, 2018. http://d-nb.info/1153007819/34.

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7

Juan, Huguet Jordi. "Iterates of differential operators and vector valued functions on non quasi analytic classes." Doctoral thesis, Universitat Politècnica de València, 2011. http://hdl.handle.net/10251/9401.

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En el año 1960 Komatsu introdujo ciertas clases de funciones infinitamente derivables definidas mediante estimaciones del crecimiento de los sucesivos iterados de un operador en derivadas parciales cuando estudiaba propiedades de regularidad de las soluciones de ciertas ecuaciones en derivadas parciales. Esta línea de investigación ha sido muy activa hasta la actualidad a través de los trabajos de muchos autores. Destacamos, entre otros, Bolley, Camus, Kotake, Langenbruch, Métivier, Narasimhan, Newberger, Rodino, Zanghirati y Zielezny. Toda esta bibliografía involucra el llamado problema de

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8

Martin, C. Wayne. "Quantization using permutation codes with a uniform source /." Electronic version (PDF), 2003. http://dl.uncw.edu/etd/2003/martinc/cwaynemartin.pdf.

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9

De, Kock Mienie. "Absolute continuity and on the range of a vector measure." [Kent, Ohio] : Kent State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=kent1216134542.

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Thesis (Ph.D.)--Kent State University, 2008.<br>Title from PDF t.p. (viewed Jan. 26, 2010). Advisor: Joseph Diestel. Keywords: absolute continiuty, range of a vector measure. Includes bibliographical references (p. 40-41).

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10

Batista, Leandro Candido. "Teoria isomorfa dos espaços de Banach C0(K,X)." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17072013-113811/.

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Para um espaço localmente compacto de Hausdorff K e um espaço de Banach X, denotamos por C0(K,X) o espaço de todas as funções a valores em X contínuas sobre K que se anulam no infinito, munido da norma do supremo. No espírito do clássico teorema de Banach-Stone 1937, estabelecemos que se C0(K1,X) é isomorfo a C0(K2,X), onde X é um espaço de Banach de cotipo finito e tal que X é separável ou X* tem a propriedade de Radon-Nikodým, então ou K1 e K2 são ambos finitos ou K1 e K2 tem a mesma cardinalidade. Trata-se de uma extensão vetorial de um resultado de Cengiz 1978, o caso escalar X = R ou X =

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11

Kiehn, Christoph [Verfasser]. "Analytic semigroups of pseudodifferential operators on vector-valued function spaces / Christoph Kiehn." Aachen : Shaker, 2003. http://d-nb.info/1170543820/34.

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12

Staśto, Anna. "QCD analysis of deep inelastic lepton-hadron scattering in the region of small values of the Bjorken parameter x." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4515/.

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We present the new framework based on BFKL and DGLAP evolution equations in which the leading in(Q(_2)) and in(l/x) terms are treated on equal footing. We introduce a pair of coupled integro-difFerential equations for the quark singlet and the unintegrated gluon distribution. The observable structure functions are calculated using high energy factorisation approach. We also include the sub-leading in (l/x) effects via consistency constraint. We argue that the use of this constraint leads to more stable solution to the Pomeron intercept than that based on the NLO calculation of the BFKL equatio

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13

Hassanpour, Hamid. "Time-frequency based detection of newborn EEG seizure." Thesis, Queensland University of Technology, 2004. https://eprints.qut.edu.au/15853/1/Hamid_Hassanpour_Thesis.pdf.

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Neurological diseases in newborns are usually first revealed by seizures, which are characterised by a synchronous discharge of a large number of neurons. Failure to control seizures may lead to brain damage or even death. The importance of this problem prompted many researchers to look for accurate automatic methods for seizure detection. Nonstationarity and multicomponent behaviour of newborn EEG signals made this task very challenging. The significant overlap in the characteristic of background and seizure activities in newborn EEG signals added to the difficulty of seizure detection.

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14

Hassanpour, Hamid. "Time-Frequency Based Detection of Newborn EEG Seizure." Queensland University of Technology, 2004. http://eprints.qut.edu.au/15853/.

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Neurological diseases in newborns are usually first revealed by seizures, which are characterised by a synchronous discharge of a large number of neurons. Failure to control seizures may lead to brain damage or even death. The importance of this problem prompted many researchers to look for accurate automatic methods for seizure detection. Nonstationarity and multicomponent behaviour of newborn EEG signals made this task very challenging. The significant overlap in the characteristic of background and seizure activities in newborn EEG signals added to the difficulty of seizure detection.

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15

Trigueiros, F. P. Maria-José. "Applications booléennes et projections polyèdrales." Grenoble INPG, 1994. http://www.theses.fr/1994INPG0060.

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Dans cette thèse, nous présentons une généralisation de l'approche polyédrale classique du problème de satisfiabilité d'un ensemble de fonctions booléennes {fl,…, fm} à n variables. Nous proposons d'élargir la représentation spatiale au graphe d'une application booléenne f = (fl,…, fm). Autrement dit, nous construisons le sous-ensemble des points de l'hypercube de dimension n+m dont les coordonnées sont les lignes de la table de vérité de fl,…, fm. Nous considérons ensuite l'enveloppe convexe de ces points. L'objet de ce travail est de donner un large ensemble d'applications booléennes dont le

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16

Barahona, Albiol Sònia. "Análisis estadístico de formas 3D con aplicaciones antropométricas." Doctoral thesis, Universitat Jaume I, 2018. http://hdl.handle.net/10803/663025.

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Esta tesis doctoral consta de dos partes claramente diferenciadas. En la primera de ellas se utiliza una herramienta matemática llamada current para caracterizar cuerpos geométricos y poder trabajar con ellos en un espacio de Hilbert con propiedades prácticas: un vector-valued Reproducing Kernel Hilbert Space. Al representar los cuerpos geométricos mediante funciones en este espacio, podemos utilizar la teoría de Análisis de Datos Funcionales para adaptar técnicas estadísticas (como algoritmos de clasificación o métodos de regresión) a un conjunto de cuerpos geométricos. Finalmente, se aplican

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17

Pinto, Jayme Augusto Duarte Pereira. "Aprofundando as noções de dependência e envelhecimento em distribuições bivariadas de probabilidade." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-22042014-190441/.

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A distribuição bivariada de Marshall-Olkin é estendida, relaxando-se a hipótese de choques exponencialmente distribuídos e assumindo-se dependência entre os choques individuais. Abordagem semelhante é considerada para sua versão dual. Representação por meio de cópula, propriedades probabilísticas e de confiabilidade assim como resultados em valores extremos são então obtidos. A propriedade de falta de memória bivariada é estendida assumindo-se uma função de dependência sem memória. Uma nova classe de distribuições caracterizada por essa propriedade estendida é introduzida. Correspondentes inte

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18

"Vector optimization." Chinese University of Hong Kong, 1988. http://library.cuhk.edu.hk/record=b5885971.

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19

Tsai, Yu Lin, and 蔡玉玲. "On Genenalized Vector Saddle Points and Generalized Vector Minimax Theorems for Set-Valued Maps and Vector Valued Functions." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/84558085642551804347.

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碩士<br>國立彰化師範大學<br>數學系<br>90<br>In this paper, we first prove some existence theorems of generalized vector saddle point for multivalued map or vector valued function. As a consequence, we establish the existence theoremsof generalized vector minimax theorem. We also establish the existencetheorem of generalized vector quasi-variational-like inequality problem for vector valued function and the relationship between the solutions of the generalized vector saddle point problem and the generalized vectorquasi-variational-like inequality problem for vector valued functions.From which we establish a

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20

Taggart, Robert James Mathematics &amp Statistics Faculty of Science UNSW. "Evolution equations and vector-valued Lp spaces: Strichartz estimates and symmetric diffusion semigroups." 2008. http://handle.unsw.edu.au/1959.4/43298.

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The results of this thesis are motivated by the investigation of abstract Cauchy problems. Our primary contribution is encapsulated in two new theorems. The first main theorem is a generalisation of a result of E. M. Stein. In particular, we show that every symmetric diffusion semigroup acting on a complex-valued Lebesgue space has a tensor product extension to a UMD-valued Lebesgue space that can be continued analytically to sectors of the complex plane. Moreover, this analytic continuation exhibits pointwise convergence almost everywhere. Both conclusions hold provided that the UMD space sa

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21

Maepa, S. M. (Salthiel Malesela). "Contributions to the theory of tensor norms and their relationship with vector-valued function spaces." Thesis, 2002. http://hdl.handle.net/2263/28634.

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22

Muzhinji, Kizito. "A class of efficient iterative solvers for the steady state incompressible fluid flow : a unified approach." Thesis, 2016. http://hdl.handle.net/11602/355.

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23

"Non-linear functional analysis and vector optimization." 1999. http://library.cuhk.edu.hk/record=b5889846.

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by Yan Shing.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 78-80).<br>Abstract also in Chinese.<br>Chapter 1 --- Admissible Points of Convex Sets --- p.7<br>Chapter 1.1 --- Introduction and Notations --- p.7<br>Chapter 1.2 --- The Main Result --- p.7<br>Chapter 1.2.1 --- The Proof of Theoreml.2.1 --- p.8<br>Chapter 1.3 --- An Application --- p.10<br>Chapter 2 --- A Generalization on The Theorems of Admissible Points --- p.12<br>Chapter 2.1 --- Introduction and Notations --- p.12<br>Chapter 2.2 --- Fundamental Lemmas --- p.14

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24

Huang, Pei-Shan, and 黃珮珊. "Convergence Rates of Some R-dimensional Approximation Operators for Vector-valued Function." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/14654218550540978413.

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碩士<br>國立中央大學<br>數學研究所<br>89<br>The purpose of this thesis is to study, by means of some r-dimensional linear operators, the approximation of vector-valued functions defined on a bounded subset. We use an approximation theorem of Korovkin type to prove that these operators converge uniformly, and then use another Korovkin-type theorem with rate to estimate their pointwise convergence rates. Finally, we apply some of these concrete approximation processes to derive some representation formulas for r-parameter semigroups of bounded linear operators.

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