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Item Details
Title: INTRODUCTION TO THE THEORY OF (NON-SYMMETRIC) DIRICHLET FORMS
By: Zhi-Ming Ma, Michael Rockner, M. Roeckner
Format: Paperback

List price: £72.00


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ISBN 10: 3540558489
ISBN 13: 9783540558484
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 19 November, 1992
Edition: Softcover reprint of the original 1st ed. 1992
Series: Universitext
Pages: 209
Description: The purpose of this advanced textbook is to provide an introduction to the theory of Dirichlet forms on general state spaces. It includes both the analytic and probabilistic components of the theory. A substantial part of the book is designed for a one-year graduate course on the subject.
Synopsis: 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.
Illustrations: VIII, 209 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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