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Dissertations / Theses on the topic 'Integral Operator'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Huettenmueller, Rhonda. "The Pettis Integral and Operator Theory." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2844/.

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Let (Ω, Σ, µ) be a finite measure space and X, a Banach space with continuous dual X*. A scalarly measurable function f: Ω→X is Dunford integrable if for each x* X*, x*f L1(µ). Define the operator Tf. X* → L1(µ) by T(x*) = x*f. Then f is Pettis integrable if and only if this operator is weak*-to-weak continuous. This paper begins with an overview of this function. Work by Robert Huff and Gunnar Stefansson on the operator Tf motivates much of this paper. Conditions that make Tf weak*-to-weak continuous are generalized to weak*-toweak continuous operators on dual spaces. For instance, if Tf i

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2

Moussai, Madani. "Continuite de certains operateurs integraux singuliers sur les espaces de besov." Paris 7, 1987. http://www.theses.fr/1987PA077016.

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On s'interesse a des conditions necessaires et suffisantes de continuite-l**(2) (resp. Continuite - besov b**(s)::(p,q)), des commutateurs entre les operateurs pseudo-differentiels o. P. D. De type s**(11,a); a1 (resp. S**(11,0)), et les fonctions dont les gradients sont bornes (resp. Des multiplicateurs de besov m(b**(s)::(p,q))). La continuite - besov du commutateur a l'aide du critere de lemarie, mene a etudier la continuite des o. P. D. De type s**(01,0) sur m(b**(sp,q)): les o. P. D. D'ordre 0 sont bornes sur les versions "localisees l**(e") de b**(s)::(p,q), par consequent sur m(b**(s)::

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3

Beil, Joel S. "Geometric Properties of Orbits of Integral Operators." Kent State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593.

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4

Bosch, Camós Anna. "Controlant la integral singular maximal." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/314177.

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Els principals objectes d'estudi d'aquesta memòria són les integrals singulars. Per l'elaboració d'aquesta memòria, trobem una especial motivació en tres articles originats a partir de la idea d'acotar la norma de l'operador maximal d'una integral singular per la norma de la integral singular. En el primer article, de J. Mateu i J. Verdera del 2006, [MV], s'hi proven desigualtats puntuals pels casos particulars de la j-èssima transformada de Riesz i de la transformada de Beurling. Es fa notar per primer cop que les acotacions són diferents degut a la paritat del nucli de les respectives tran

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5

Li, Xiaochun. "Uniform bounds for the bilinear Hilbert transforms /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3025634.

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6

Chunaev, Petr. "Singular integral operators and rectifiability." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/663827.

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Los problemas que estudiamos en esta tesis se encuentran en el área de Análisis Armónico y Teoría de la Medida Geométrica. En particular, consideramos la conexión entre las propiedades analíticas de operadores integrales singulares definidos en $L^2(\mu)$ y asociados con algunos núcleos de Calderón-Zygmund y las propiedades geométricas de la medida $\mu$. Seamos más precisos. Sea $E$ un conjunto de Borel en el plano complejo con la medida lineal de Hausdorff $H^1$ finita y distinta de cero, es decir, $0<H^1(E)<\infty $. G. David y J.C. Léger (1999) probaron que el núcleo de Cauchy $1/z$ (e su

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7

Tarkhanov, Nikolai. "Operator algebras related to the Bochner-Martinelli Integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2978/.

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We describe a general method of computing the square of the singular integral of Bochner-Martinelli. Any explicit formula for the square applies in a familiar way to describe the C*-algebra generated by this integral.

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8

Bär, Christian. "Renormalized integrals and a path integral formula for the heat kernel on a manifold." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6005/.

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We introduce renormalized integrals which generalize conventional measure theoretic integrals. One approximates the integration domain by measure spaces and defines the integral as the limit of integrals over the approximating spaces. This concept is implicitly present in many mathematical contexts such as Cauchy's principal value, the determinant of operators on a Hilbert space and the Fourier transform of an L^p function. We use renormalized integrals to define a path integral on manifolds by approximation via geodesic polygons. The main part of the paper is dedicated to the proof of a path

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9

Khan, Mumtaz Ahmad, and Bhagwat Swaroop Sharma. "A study of three variable analogues of certain fractional integral operators." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95821.

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The paper deals with a three variable analogues of certain fractional integral operators introduced by M. Saigo. Resides giving three variable analogues of earlier known fractional integral operators of one variable as a special cases of newly defined operators, the paper establishes certain results in the form of theorems including integration by parts.

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10

Nacinovich, Mauro, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "On carleman formulas for the dolbeault cohomology." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2522/.

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We discuss the Cauchy problem for the Dolbeault cohomology in a domain of C n with data on a part of the boundary. In this setting we introduce the concept of a Carleman function which proves useful in the study of uniqueness. Apart from an abstract framework we show explicit Carleman formulas for the Dolbeault cohomology.

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11

Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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12

Kowalski, Michael Władisław. "Comparative study of oscillatory integral, and sub-level set, operator norm estimates." Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/4687.

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Oscillatory integral operators have been of interest to both mathematicians and physicists ever since the emergence of the work Theorie Analytique de la Chaleur of Joseph Fourier in 1822, in which his chief concern was to give a mathematical account of the diffusion of heat. For example, oscillatory integrals naturally arise when one studies the behaviour at infinity of the Fourier transform of a Borel measure that is supported on a certain hypersurface. One reduces the study of such a problem to that of having to obtain estimates on oscillatory integrals. However, sub-level set operators have

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13

Zhao, Dandan, and 趙丹丹. "Integral inequalities and solvability of boundary value problems with p(t)-Laplacian operators." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B42841823.

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14

Zhao, Dandan. "Integral inequalities and solvability of boundary value problems with p(t)-Laplacian operators." Click to view the E-thesis via HKUTO, 2009. http://sunzi.lib.hku.hk/hkuto/record/B42841823.

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15

Mei, Tao. "Operator valued Hardy spaces and related subjects." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4427.

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We give a systematic study of the Hardy spaces of functions with values in the non-commutative Lp-spaces associated with a semifinite von Neumann algebra M. This is motivated by matrix valued harmonic analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of non-commutative martingale inequalities. Our non-commutative Hardy spaces are defined by non-commutative Lusin integral functions. It is proved in this dissertation that they are equivalent to those defined by the non-commutative Littlewood-Paley G-functions. We also study the Lp bo

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16

Moghaddam, Peyman P., and Felix J. Herrmann. "Migration preconditioning with curvelets." Society of Exploration Geophysicists, 2004. http://hdl.handle.net/2429/425.

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In this paper, the property of Curvelet transforms for preconditioning the migration and normal operators is investigated. These operators belong to the class of Fourier integral operators and pseudo-differential operators, respectively. The effect of this preconditioner is shown in term of improvement of sparsity, convergence rate, number of iteration for the Krylov-subspace solver and clustering of singular(eigen) values. The migration operator, which we employed in this work is the common-offset Kirchoff-Born migration.

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17

Klug, Matthias [Verfasser]. "Integral Formulas and Discrepancy Estimates Using the Fundamental Solution to the Beltrami Operator on Regular Surfaces / Matthias Klug." München : Verlag Dr. Hut, 2014. http://d-nb.info/1064560482/34.

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18

Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwells equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pro

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19

Hofmann, B. "On Ill-Posedness and Local Ill-Posedness of Operator Equations in Hilbert Spaces." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801185.

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In this paper, we study ill-posedness concepts of nonlinear and linear inverse problems in a Hilbert space setting. We define local ill-posedness of a nonlinear operator equation $F(x) = y_0$ in a solution point $x_0$ and the interplay between the nonlinear problem and its linearization using the Frechet derivative $F\acent(x_0)$ . To find an appropriate ill-posedness concept for the linarized equation we define intrinsic ill-posedness for linear operator equations $Ax = y$ and compare this approach with the ill-posedness definitions due to Hadamard and Nashed.

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20

Hofmann, Bernd, and Wolfersdorf Lothar von. "New results on the degree of ill-posedness for integration operators with weights." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800545.

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We extend our results on the degree of ill-posedness for linear integration opera- tors A with weights mapping in the Hilbert space L^2(0,1), which were published in the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one also holds for a family of exponential weight functions. In this context, we empha- size that for integration operators with outer weights the use of the operator AA^* is more appropriate for the analysis of eigenvalue problems and the corresponding asymptotics of singular values than the former use of A^*A.

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21

Lambert, Alex. "Learning function-valued functions in reproducible kernel Hilbert spaces with integral losses : Application to infinite task learning." Electronic Thesis or Diss., Institut polytechnique de Paris, 2021. http://www.theses.fr/2021IPPAT016.

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Les méthodes à noyaux sont au coeur de l'apprentissage statistique. Elles permettent de modéliser des fonctions à valeurs réelles dans des espaces de fonctions à fort potentiel représentatif, sur lesquels la minimisation de risques empiriques régularisés est possible et produit des estimateurs dont le comportement statistique est largement étudié. Lorsque les sorties ne sont plus réelles mais de plus grande dimension, les Espaces de Hilbert à Noyaux Reproduisants à valeurs vectorielles (vv-RKHSs) basés sur des Noyaux à Valeurs Opérateurs (OVKs) fournissent des espaces de fonctions similaires e

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22

Karlsson, Ulf. "Semi-classical approximations of Quantum Mechanical problems." Doctoral thesis, KTH, Mathematics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3440.

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23

Rodríguez, Ruiz José. "Integración en espacios de Banach." Doctoral thesis, Universidad de Murcia, 2006. http://hdl.handle.net/10803/10963.

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Esta tesis doctoral se enmarca dentro de la teoría de integración de funciones con valores en espacios de Banach. Analizamos con detalle la integral de Birkhoff de funciones vectoriales, así como sus correspondientes versiones dentro de los contextos de la integración respecto de medidas vectoriales y la integración de multi-funciones. Comparamos estos métodos de integración con otros bien conocidos (integrales de Bochner, Pettis, McShane, Debreu, etc.). Caracterizamos, en términos de integración vectorial, algunas propiedades de los espacios de Banach donde las (multi-) funciones toman valore

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24

Ben, Arous Gérard. "Etude probabiliste de certaines proprietes des operateurs hypoelliptiques." Paris 7, 1987. http://www.theses.fr/1987PA077185.

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Cette these etudie les diffusions associees a des operateurs elliptiques degeneres. Dans une premiere partie (ecrite en collaboration avec d. Stroock et s. Kusuoka), on montre que la mesure harmonique, associee a un tel operateur sur un ouvert de r**(n) admet un noyau de poisson regulier lorsque le probleme de dirichlet est bien pose, que la frontiere est reguliere et non caracteristique et que la condition d'hypoellipticite de hoermander est verifiee sur la frontiere. Ensuite, on etablit un developpement de taylor stochastique i. E. En integrales stochastiques iterees de la diffusion associee

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25

Júnior, Antônio Espósito. "Equações integrais via teoria de domínios: problemas direto e inverso." Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=772.

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Apresenta-se um estudo em Teoria de Domínios das equações integrais da forma geral f (x) = h(x)+g Z b(x) a(x) g(x, y, f (y))dy com h, a e b definidas para x ∈ [a0,b0], a0 ≤a(x)≤b(x)≤b0 e g definida para x, y ∈ [a0,b0], cujo lado direito define uma contração sobre o espaço métrico de funções reais contínuas limitadas. O ponto de partida desse trabalho é a reescrita da Análise Intervalar para Teoria de Domínios do problema de valor incial em equações diferenciais ordinárias que possuem solução como ponto fixo do operador de Picard. Com o conjunto dos números reais

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26

Meo, Michel. "Transformations intégrales pour les courants positifs fermés et théorie de l'intersection." Grenoble 1, 1996. http://www.theses.fr/1996GRE10015.

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On etudie tout d'abord la transformation integrale qui permet d'etendre aux courants positifs fermes la definition des coordonnees de chow des cycles effectifs de l'espace projectif. A un courant de bidegre (q,q) est associe un courant de bidegre (1,1), obtenu par integration sur les sous-espaces projectifs de dimension q-1 et dont les potentiels jouent le role des formes de chow. On verifie que cette transformation est elle aussi injective. La demonstration repose, apres utilisation d'un tranchage, sur une formule classique d'inversion de la transformation de radon des fonctions. Dans la seco

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27

Vaktnäs, Marcus. "On Singular Integral Operators." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355872.

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28

Langenau, Holger. "Best constants in Markov-type inequalities with mixed weights." Doctoral thesis, Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-200815.

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Markov-type inequalities provide upper bounds on the norm of the (higher order) derivative of an algebraic polynomial in terms of the norm of the polynomial itself. The present thesis considers the cases in which the norms are of the Laguerre, Gegenbauer, or Hermite type, with respective weights chosen differently on both sides of the inequality. An answer is given to the question on the best constant so that such an inequality is valid for every polynomial of degree at most n. The demanded best constant turns out to be the operator norm of the differential operator. The latter conicides with

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29

Ramaciotti, Morales Pedro. "Theoretical and numerical aspects of wave propagation phenomena in complex domains and applications to remote sensing." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX063/document.

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Cette thèse s'inscrit dans le sujet des opérateurs intégraux de frontière définis sur le disque unitaire en trois dimensions, leurs relations avec les problèmes externes de Laplace et Helmholtz, et leurs applications au préconditionnement des systèmes linéaires obtenus en utilisant la méthode des éléments finis de frontière.On décrit d'abord les méthodes intégrales pour résoudre les problèmes de Laplace et de Helmholtz en dehors des objets à frontière régulière lipschitzienne, et en dehors des surfaces bidimensionnelles ouvertes dans un espace tridimensionnel. La formulation intégrale des prob

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30

Takizawa, Michiru Clara. "The ladder operator approach to constructing conserved operators in integrable one-dimensional lattice models /." [St. Lucia, Qld.], 2004. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe18577.pdf.

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31

Khan, Mumtaz Ahmad. "On fractional integral operators of three variables and integral transforms." Pontificia Universidad Católica del Perú, 2012. http://repositorio.pucp.edu.pe/index/handle/123456789/96049.

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The present paper is a continuation to authors paper [11]where three variable analogues of certain fractional integraloperators of M. Saigo were investigated. This paper dealswith the effect of operating three variable analogues of Mellinand Laplace transforms on these three variable analogues offractional integral operators of the earlier paper.

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32

GonzaÌlez, Luiz Felipe. "Some integral operators in thermodynamic formalism." Thesis, University of Warwick, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396693.

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33

Hartung, Tobias. "z-functions of Fourier Integral Operators." Thesis, King's College London (University of London), 2015. http://kclpure.kcl.ac.uk/portal/en/theses/zfunctions-of-fourier-integral-operators(933e5068-2890-4d32-a991-fafa784bfda7).html.

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Based on Guillemin’s work on gauged Lagrangian distributions, we will introduce the notion of a gauged poly-log-homogeneous distribution as an approach to ζ-functions for a class of Fourier Integral Operators which includes cases of amplitudes with asymptotic expansion Σk∈N amk where each amk is log-homogeneous with degree of homogeneity mk but violating R(mk) → −∞. We will calculate the Laurent expansion for the ζ-function and give formulae for the coefficients in terms of the phase function and amplitude, as well as investigate generalizations to the Kontsevich-Vishik trace. Using stationary

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34

Khan, Mumtaz Ahmad, and Abukhammash Ghazi Salama. "On certain fractional integral operators of two variables and integral transforms." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97226.

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The present paper is in continuation to authors earlier paper {9} where two variable analogues of certain fractional integral operators of M. Saigo were investigated. This paper deals with the effect of operating two variable analogues of Mellin and Laplace transforms on these two variable analogues of fractional integral operators of the earlier paper.

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35

Rogers, Keith McKenzie School of Mathematics UNSW. "Real and p-adic oscillatory integrals." Awarded by:University of New South Wales. School of Mathematics, 2004. http://handle.unsw.edu.au/1959.4/20521.

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After our introduction in Chapter 1, we consider van der Corput's lemma in Chapter 2. We find the nodes that minimize divided differences, and use these to find the sharp constant in a related sublevel set estimate. We go on to find the sharp constant in the first instance of the van der Corput lemma using a complex mean value theorem for integrals. With these bounds we improve the constant in the general van der Corput lemma, so that it is asymptotically sharp. In Chapter 3 we review the p-adic numbers and some results from Fourier analysis over the p-adics. In Chapter 4 we prove a p-adic ve

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36

Assaad, Joyce. "Transformées de Riesz associées aux opérateurs de Schrödinger avec des potentiels négatifs." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14106/document.

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Dans cette thèse nous étudions la bornitude des transformées de Riesz associées aux opérateurs de Schrödinger avec des potentiels qui admettent des parties négatives.Cette étude a lieu dans un premier temps sur les espaces de Lebesgue Lp(RN, dx), puissur les espaces Lp(M, dx) où M est une variété Riemannienne de type homogène et dans un dernier temps sur les espaces à poids Lp(RN,wdx). Nous considérons également,sur ces espaces à poids, la bornitude du calcul fonctionnel holomorphe associé et la bornitude des puissances négatives de l’opérateur de Schrödinger<br>In this thesis we study the bou

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37

Reguera, Rodriguez Maria del Carmen. "Sharp weighted estimates for singular integral operators." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/39522.

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The thesis provides answers, in one case partial and in the other final, to two conjectures in the area of weighted inequalities for Singular Integral Operators. We study the mapping properties of these operators in weighted Lebesgue spaces with weight w. The novelty of this thesis resides in proving sharp dependence of the operator norm on the Muckenhoupt constant associated to the weigth w for a rich class of Singular Integral operators. The thesis also addresses the end point case p=1, providing counterexamples for the dyadic and continuous settings.

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38

Langenau, Holger. "Best constants in Markov-type inequalities with mixed weights." Doctoral thesis, Universitätsverlag der Technischen Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20429.

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Markov-type inequalities provide upper bounds on the norm of the (higher order) derivative of an algebraic polynomial in terms of the norm of the polynomial itself. The present thesis considers the cases in which the norms are of the Laguerre, Gegenbauer, or Hermite type, with respective weights chosen differently on both sides of the inequality. An answer is given to the question on the best constant so that such an inequality is valid for every polynomial of degree at most n. The demanded best constant turns out to be the operator norm of the differential operator. The latter conicides with

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39

Arthur, Richard B. "Vision-Based Human Directed Robot Guidance." Diss., CLICK HERE for online access, 2004. http://contentdm.lib.byu.edu/ETD/image/etd564.pdf.

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40

Sant\'Anna, Douglas Azevedo. "Decaimento dos autovalores de operadores integrais gerados por séries de potências." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-06052013-103553/.

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O principal objetivo deste trabalho e descrever o decaimento dos autovalores de operadores integrais gerados por núcleos definidos por séries de potências, mediante hipóteses sobre os coeficientes na série que representa o núcleo gerador. A análise e implementada em duas frentes: inicialmente, consideramos o caso em que o núcleo esta definido sobre a esfera unitária de \'R POT. m+1\', estendendo posteriormente a análise, para o caso da bola unitária do mesmo espaço. Em seguida, visando primordialmente o caso em que o núcleo esta definido sobre a esfera unitaria em \'C POT. m+1\', abordamos u

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41

Shvydkoy, Roman. "Operators and integrals in Banach spaces /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3036855.

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42

Nicoll, Wilfred James. "Global oscillatory integrals for solutions of hyperbolic systems." Thesis, University of Sussex, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266443.

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43

Santana, Edixon Manuel Rojas. "A study of singular integral operators with shift." Doctoral thesis, Universidade de Aveiro, 2010. http://hdl.handle.net/10773/3882.

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Doutoramento em Matemática<br>Nesta tese, consideram-se operadores integrais singulares com a acção extra de um operador de deslocacamento de Carleman e com coeficientes em diferentes classes de funções essencialmente limitadas. Nomeadamente, funções contínuas por troços, funções quase-periódicas e funções possuíndo factorização generalizada. Nos casos dos operadores integrais singulares com deslocamento dado pelo operador de reflexão ou pelo operador de salto no círculo unitário complexo, obtêm-se critérios para a propriedade de Fredholm. Para os coeficientes contínuos, uma fórmula do

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44

Andrews, Graeme David. "SG fourier integral operators with closure under composition." Thesis, Imperial College London, 2009. http://hdl.handle.net/10044/1/11990.

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45

Vähäkangas, Antti V. "Boundedness of weakly singular integral operators on domains /." Helsinki : Suomalainen Tiedeakatemia, 2009. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=018603140&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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46

Khadivi, Mohammad Reza. "Operator theory and infinite networks." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/30019.

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Doll, Moritz [Verfasser]. "Fourier integral operators on non-compact manifolds / Moritz Doll." Hannover : Gottfried Wilhelm Leibniz Universität Hannover, 2018. http://d-nb.info/116631393X/34.

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Robinson, Helen Jane. "Theorems of Helson-SzegoÌˆ type and iterated integral operators". Thesis, University of York, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.428423.

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Ballard, Grey M. "Asymptotic behavior of the eigenvalues of Toeplitz integral operators associated with the Hankel transform." Electronic thesis, 2008. http://dspace.zsr.wfu.edu/jspui/handle/10339/221.

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Bishop, Shannon Renee Smith. "Gabor and wavelet analysis with applications to Schatten class integral operators." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33976.

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Abstract:

This thesis addresses four topics in the area of applied harmonic analysis. First, we show that the affine densities of separable wavelet frames affect the frame properties. In particular, we describe a new relationship between the affine densities, frame bounds and weighted admissibility constants of the mother wavelets of pairs of separable wavelet frames. This result is also extended to wavelet frame sequences. Second, we consider affine pseudodifferential operators, generalizations of pseudodifferential operators that model wideband wireless communication channels. We find two classes

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