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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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
- 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
- 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)
- 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
- 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