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Introduction to the Theory of (Non-Symmetric) Dirichlet Forms

  • Textbook
  • © 1992

Overview

Authors:
  1. Zhi-Ming Ma

    1. Institute of Applied Mathematics, Academia Sinica, Beijing, People’s Republic of China

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  2. Michael Röckner

    1. Institut für Angewandte Mathematik, Universität Bonn, Bonn 1, Germany

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • Zhi-Ming Ma, Michael Röckner
    Pages 1-5

  3. Functional Analytic Background

    • Zhi-Ming Ma, Michael Röckner
    Pages 7-40

  4. Examples

    • Zhi-Ming Ma, Michael Röckner
    Pages 41-69

  5. Analytic Potential Theory of Dirichlet Forms

    • Zhi-Ming Ma, Michael Röckner
    Pages 71-86

  6. Markov Processes and Dirichlet Forms

    • Zhi-Ming Ma, Michael Röckner
    Pages 87-145

  7. Characterization of Particular Processes

    • Zhi-Ming Ma, Michael Röckner
    Pages 147-172

  8. Regularization

    • Zhi-Ming Ma, Michael Röckner
    Pages 173-181

  9. Back Matter

    Pages 183-212
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Keywords

About this book

The purpose of this book is to give a streamlined introduction to the theory of (not necessarily symmetric) Dirichlet forms on general state spaces. It includes both the analytic and the probabilistic part of the theory up to and including the construction of an associated Markov process. It is based on recent joint work of S. Albeverio and the two authors and on a one-year-course on Dirichlet forms taught by the second named author at the University of Bonn in 1990/9l. It addresses both researchers and graduate students who require a quick but complete introduction to the theory. Prerequisites are a basic course in probabil­ ity theory (including elementary martingale theory up to the optional sampling theorem) and a sound knowledge of measure theory (as, for example, to be found in Part I of H. Bauer [B 78]). Furthermore, an elementary course on lin­ ear operators on Banach and Hilbert spaces (but without spectral theory) and a course on Markov processes would be helpful though most of the material needed is included here.

Authors and Affiliations

  • Institute of Applied Mathematics, Academia Sinica, Beijing, People’s Republic of China

    Zhi-Ming Ma

  • Institut für Angewandte Mathematik, Universität Bonn, Bonn 1, Germany

    Michael Röckner

Bibliographic Information

  • Book Title: Introduction to the Theory of (Non-Symmetric) Dirichlet Forms

  • Authors: Zhi-Ming Ma, Michael Röckner

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-642-77739-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55848-4Published: 14 December 1992

  • eBook ISBN: 978-3-642-77739-4Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: VIII, 209

  • Topics: Probability Theory and Stochastic Processes, Potential Theory

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