Pseudo Differential Operators and Markov Processes, Volume Ii : Generators and Their Potential Theory.
In this volume two topics are discussed: the construction of Feller and L p -sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differenti...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
World Scientific Publishing Company,
2002.
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| Subjects: | |
| Online Access: |
Full text (MFA users only) |
| ISBN: | 9781860949562 1860949568 |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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 Notations related to Pseudo-Differential Operators
- Notations related to Potential Theory and Harmonic Analysis
- Introduction: Pseudo-Differential Operators and Markov Processes
- II Generators and Their Potential Theory
- 1 Introduction 2 Generators of Feller and Sub-Markovian Semigroups
- 2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups