Semi-Dirichlet Forms and Markov Processes (De Gruyter Studies in Mathematics): 48

Semi-Dirichlet Forms and Markov Processes (De Gruyter Studies in Mathematics): 48 book cover

Semi-Dirichlet Forms and Markov Processes (De Gruyter Studies in Mathematics): 48

Author(s): Yoichi Oshima (Author)

  • Publisher: De Gruyter
  • Publication Date: 17 April 2013
  • Language: English
  • Print length: 294 pages
  • ISBN-10: 3110302004
  • ISBN-13: 9783110302004

Book Description

Symmetric Dirichlet forms andtheir associated Markov processes are important and powerful toolsin the theory of Markovprocesses and their applications. In this monograph, wegeneralize the theory to non-symmetric and time dependent semi-Dirichlet forms. Thus, we can cover the wide class of Markov processes and analytic theory which do not possess the dualMarkov processes.

Editorial Reviews

Review

“The intention of the author is for the book to serve as a self-contained textbook. The results are therefore mostly followed by detailed proofs. […] This book, the first systematic treatment of lower bounded semi-Dirichlet forms, will be a valuable contribution to the literature and will certainly become a classic reference in the field.” Mathematical Reviews

“This new book is a most welcome addition to the existing literature on Dirichlet forms. It is a readily accessible, advanced graduate-level account of analytic and probabilistic potential theory of Hunt processes given by (lower bounded semi-) Dirichlet forms.” Zentralblatt für Mathematik

About the Author

Y. Oshima, Kumamoto University, Japan.

Y. Oshima, Kumamoto University.

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