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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Jacob, N.
Format: Electronic eBook
Language:Inglés
Published: Singapore : World Scientific Publishing Company, 2002.
Subjects:
Online Access:Texto completo
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