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Pseudo Differential Operators and Markov Processes, Volume I : Fourier Analysis and Semigroups.

After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2001.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Pseudo Differential Operators and Markov Processes, Volume I :  |b Fourier Analysis and Semigroups. 
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520 |a After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups. In addition, Dirichlet forms are treated. The book is self-contained and offers new material originated by the author and his students. Sample Chapter(s). Introduction: Pseudo Differential Operators and Markov Processes. 
505 0 |a Contents -- Preface -- Notation -- General Notation -- Functions and Distributions -- Measures and Integrals -- Spaces of Functions Measures and Distributions -- Some Families of Functions -- Norms Scalar Products and Seminorms 
505 8 |a Notation from Functional Analysis Operators Introduction: Pseudo Differential Operators and Markov Processes -- I Fourier Analysis and Semigroups -- 1 Introduction -- 2 Essentials from Analysis -- 2.1 Calculus Results -- 2.2 Some Topology 
505 8 |a 2.3 Measure Theory and Integration 2.4 Convexity -- 2.5 Analytic Functions -- 2.6 Functions and Distributions -- 2.7 Some Functional Analysis -- 2.8 Some Interpolation Theory -- 3 Fourier Analysis and Convolution Semigroups -- 3.1 The Fourier Transform in S(Rn) 
505 8 |a 3.2 The Fourier Transform in Lp(Rn) 1 <p<2 3.3 The Fourier Transform in S'(Rn) -- 3.4 The Paley-Wiener-Schwartz Theorem -- 3.5 Bounded Borel Measures and Positive Definite Functions -- 3.6 Convolution Semigroups and Negative Definite Functions 
505 8 |a 3.7 The Levy-Khinchin Formula for Continuous Negative Definite Functions 3.8 Laplace and Stieltjes Transform and Completely Monotone Functions -- 3.9 Bernstein Functions and Subordination of Convolution Semigroups 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Fourier analysis. 
650 0 |a Pseudodifferential operators. 
650 0 |a Dirichlet forms. 
650 0 |a Markov processes. 
650 6 |a Analyse de Fourier. 
650 6 |a Opérateurs pseudo-différentiels. 
650 6 |a Formes de Dirichlet. 
650 6 |a Processus de Markov. 
650 7 |a Dirichlet forms  |2 fast 
650 7 |a Fourier analysis  |2 fast 
650 7 |a Markov processes  |2 fast 
650 7 |a Pseudodifferential operators  |2 fast 
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