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Opérateurs intégraux. --- Integral operators --- Opérateurs intégraux.
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Operator theory --- Function spaces. --- Integral operators. --- Decomposition (Mathematics) --- Décomposition (mathématiques) --- Opérateurs intégraux. --- Espaces fonctionnels. --- Function spaces --- Integral operators --- Mathematics --- Probabilities --- Operators, Integral --- Integrals --- Spaces, Function --- Functional analysis
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L [superscript p] spaces --- Integral operators --- Integral operators. --- Lp spaces. --- Opérateurs intégraux. --- Opérateurs intégraux --- Opérateurs linéaires --- Analyse fonctionnelle --- Espaces particuliers --- Espaces de lebesgue
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In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book rep
Integral operators. --- Mathematics. --- Nonlinear operators. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Operators, Nonlinear --- Operators, Integral --- Operator theory --- Integrals --- Integral operators --- Nonlinear operators
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This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat-Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
Fourier series. --- Fourier integral operators. --- Fourier analysis. --- Analysis, Fourier --- Mathematical analysis --- Fourier analysis --- Integral operators --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Harmonic analysis --- Harmonic functions
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Operator theory --- Function spaces. --- Integral operators. --- Summability theory. --- Opérateurs intégraux. --- Opérateurs intégraux.
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Linear operators. --- Opérateurs linéaires. --- Integral operators. --- Opérateurs intégraux. --- Opérateurs linéaires. --- Opérateurs intégraux.
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Linear operators. --- Opérateurs linéaires. --- Integral operators. --- Opérateurs intégraux. --- Opérateurs linéaires. --- Opérateurs intégraux.
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Linear operators. --- Opérateurs linéaires --- Integral operators. --- Opérateurs intégraux --- Equations fonctionnelles --- Equations fonctionnelles
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Partial differential equations --- Differential equations, Partial. --- Analytic functions. --- Integral operators. --- Differential equations, Partial --- Équations aux dérivées partielles --- Improperly posed problems --- Problèmes mal posés --- Analytic functions --- Integral operators --- Problèmes mal posés. --- Equations integrales