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Thèses sur le sujet « Integral operator algebras »

Auteur : Grafiati

Publié le 2 juin 2025

Mis à jour le 31 juillet 2025

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1

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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2

Beaver, Scott. "Banach algebras of integral operators, off-diagonal decay, and applications in wireless communications /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2004. http://uclibs.org/PID/11984.

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3

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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4

Casati, Matteo. "Multidimensional Poisson Vertex Algebras and Poisson cohomology of Hamiltonian structures of hydrodynamic type." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4853.

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The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Hamiltonian structure of a broad class of evolutionary PDEs, that are ubiquitous in the theory of Integrable Systems, ranging from Hopf equation to the principal hierarchy of a Frobenius manifold. They can be regarded as an analogue of the classical Poisson brackets, defined on an infinite dimensional space of maps Σ → M between two manifolds. Our main problem is the study of Poisson-Lichnerowicz cohomology of such space when dim Σ > 1. We introduce the notion of multidimensional Poisson Vertex Al

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5

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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6

Barros, Paulo Barbosa. "Algumas Aplicações de Integrais de Trajetória Grassmannianas na Teoria Quântica Moderna." Universidade de São Paulo, 1998. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-27022014-132628/.

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Este trabalho é dedicado à aplicação de integrais de trajetória de Grassmann para o cálculo de operadores relevantes aos problemas da teoria quântica relativística. Primeiramente uma visão geral detalhada do método é fornecida. Então concentramos nas definições e aplicações das integrais de trajetória sobre as variáveis de Grassmann. Discutimos, em detalhe, um importante papel das integrais de trajetória de Grassmann na representação de propagadores de partículas relativísticas. Derivamos o chamado fatores de spin para tais representações, fazendo as integrações Grasmannianas. Uma contribuição

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7

Santos, Viviane de Oliveira. "Fórmulas integrais para a curvatura r-média e aplicações." Universidade Federal de Alagoas, 2010. http://repositorio.ufal.br/handle/riufal/1043.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Nesta dissertação, descrevemos resultados obtidos por Hilário Alencar e A. Gervasio Colares, publicado no Annals of Global Analysis and Geometry em 1998. Inicialmente, obtemos fórmulas integrais para a curvatura r-média, as quais generalizam fórmulas de Minkowski. Além disso, usando estas fórmulas, caracterizamos as hipersuperfícies compactas imersas no espaço Euclidiano, esférico ou hiperbólico cujo conjunto de pontos nestes espaços que não pertencem as hipersuperfícies totalmente geodésicas tangentes às hipersuperfícies compactas

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8

Kaiser, Robert. "Polynomiale Kollokations-Quadraturverfahren für singuläre Integralgleichungen mit festen Singularitäten." Doctoral thesis, Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-229930.

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Viele Probleme der Riss- und Bruchmechanik sowie der mathematischen Physik lassen sich auf Lösungen von singulären Integralgleichungen über einem Intervall zurückführen. Diese Gleichungen setzen sich im Wesentlichen aus dem Cauchy'schen singulären Integraloperator und zusätzlichen Integraloperatoren mit festen Singularitäten in den jeweiligen Kernen zusammen. Zur numerischen Lösung solcher Gleichungen werden polynomiale Kollokations-Quadraturverfahren betrachet. Als Ansatzfunktionen und Kollokationspunkte werden dabei gewichtete Polynome und Tschebyscheff-Knoten gewählt. Die Gewichte sind so g

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9

Chen, Shr-Jing. "Vertex operator algebras and integrable systems." 2009. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498.

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10

Leach, Peter Gavin Lawrence. "Algebraic properties of ordinary differential equations." Thesis, 1995. http://hdl.handle.net/10413/4897.

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In Chapter One the theoretical basis for infinitesimal transformations is presented with particular emphasis on the central theme of this thesis which is the invariance of ordinary differential equations, and their first integrals, under infinitesimal transformations. The differential operators associated with these infinitesimal transformations constitute an algebra under the operation of taking the Lie Bracket. Some of the major results of Lie's work are recalled. The way to use the generators of symmetries to reduce the order of a differential equation and/or to find its first integrals is

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11

Axelsson, Andreas. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." Phd thesis, 2002. http://hdl.handle.net/1885/46056.

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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 Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pr

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12

Sajedi, Masoumeh. "Classification of separable superintegrable systems of order four in two dimensional Euclidean space and algebras of integrals of motion in one dimension." Thèse, 2019. http://hdl.handle.net/1866/21748.

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13

Bhattacharya, Atreyee. "On an ODE Associated to the Ricci Flow." Thesis, 2013. http://etd.iisc.ac.in/handle/2005/3427.

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We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) which force the metric to be flat. We obtain the same conclusion for compact Ricci-flat K¨ahler surfaces with similar but weaker restrictions on holomorphic sectional curvature. Next we study the reaction ODE associated to the evolution of the Riemann curvature operator along the Ricci flow. We analyze the behavior of this ODE near algebraic curvature operators of certain s

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14

Bhattacharya, Atreyee. "On an ODE Associated to the Ricci Flow." Thesis, 2013. http://etd.iisc.ernet.in/2005/3427.

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We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) which force the metric to be flat. We obtain the same conclusion for compact Ricci-flat K¨ahler surfaces with similar but weaker restrictions on holomorphic sectional curvature. Next we study the reaction ODE associated to the evolution of the Riemann curvature operator along the Ricci flow. We analyze the behavior of this ODE near algebraic curvature operators of certain s

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15

Cadamuro, Daniela. "A Characterization Theorem for Local Operators in Factorizing Scattering Models." Doctoral thesis, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F097-A.

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