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Elementary Introduction to the Theory of Pseudodifferential Operators

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Series series Studies in Advanced Mathematics
In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is ... Leer más

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In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is
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Series series Analytical Methods and Special Functions
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Series series Chapman & Hall/CRC Pure and Applied Mathematics
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Series series Chapman & Hall/CRC Pure and Applied Mathematics
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Series series Engineering (R0)
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de Simone Malacrida ...

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Series series Lecture Notes in Pure and Applied Mathematics
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Series series Mathematics and Statistics (R0)
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This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation
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Edición de Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann ...

Series series Springer Nature Proceedings excluding Computer Science
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Series series Mathematics and Statistics (R0)
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Israel Seminar (GAFA) 2017-2019 Volume II

Edición de Bo'az Klartag, Emanuel Milman ...

Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The
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Perturbation Theory for Linear Operators

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de Aref Jeribi ...

Series series Mathematics and Statistics (R0)
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This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on
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Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids

de Ruy Exel, David R. Pitts ...

Series series Mathematics and Statistics (R0)
This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces.Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras ... Leer más

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This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces.Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras
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eBooks de Análisis funcional

Elementary Introduction to the Theory of Pseudodifferential Operators

Methods of the Theory of Generalized Functions

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

Measure Theory and Integration

Advanced Functional Analysis

Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations

Wavelet Transforms and Their Applications

Semigroups for Delay Equations

Wavelets and Multiwavelets

Advances in Shannon's Sampling Theory

Übungen zur Funktionalanalysis

Exercícios de Distribuições

Introdução à Teoria de Galois

Introduction à l'analyse fonctionnelle

Spectral Theory & Computational Methods of Sturm-Liouville Problems

Nonlinear Functional Analysis

Nonlocal Diffusion and Applications

Singularly Perturbed Boundary Value Problems

Asymptotic Geometric Analysis

Multi-scale Analysis for Random Quantum Systems with Interaction

Geometric Aspects of Functional Analysis

Mild Differentiability Conditions for Newton's Method in Banach Spaces

Perturbation Theory for Linear Operators

Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids