Dirichlet Forms and Symmetric Markov Processes

2. revidierte and ext. Auflage 2010
ISBN: 978-3-11-021808-4
Verlag: De Gruyter

Buch, Englisch, 489 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1019 g

Reihe: ISSN

Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added some new sections as well as several exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.

Autoren/Hrsg.

Fukushima, Masatoshi

Takeda, Masayoshi

Oshima, Yoichi

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

Frontmatter
Preface to the first and second edition
Preface to the second edition
Contents
Notation
Part I: Dirichlet Forms
Chapter 1: Basic theory of Dirichlet forms
Chapter 2: Potential theory for Dirichlet forms
Chapter 3: The scope of Dirichlet forms
Part II: Symmetric Markov processes
Chapter 4: Analysis by symmetric Hunt processes
Chapter 5: Stochastic analysis by additive functionals
Chapter 6: Transformations of forms and processes
Chapter 7: Construction of symmetric Markov processes
Appendix
Notes
Bibliography
Index

Über Autor(innen)

Takeda, Masayoshi
Masayoshi Takeda, Tohoku University, Japan.

Oshima, Yoichi
Yoichi Oshima, Kumamoto University, Japan;

Fukushima, Masatoshi
Masatoshi Fukushima, Osaka University, Japan;

Masatoshi Fukushima, Osaka University, Japan; Yoichi Oshima, Kumamoto University, Japan; Masayoshi Takeda, Tohoku University, Japan.