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

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 base...

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Main Authors: Ma, Zhi-Ming, Röckner, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1992, 1992
Edition:1st ed. 1992
Series:Universitext
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Ma, Zhi-Ming 
245 0 0 |a Introduction to the Theory of (Non-Symmetric) Dirichlet Forms  |h Elektronische Ressource  |c by Zhi-Ming Ma, Michael Röckner 
250 |a 1st ed. 1992 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1992, 1992 
300 |a VIII, 209 p  |b online resource 
505 0 |a operator -- 2 Starting point: bilinear form — finite dimensional case -- 3 Starting point: bilinear form — infinite dimensional case -- 4 Starting point: semigroup of kernels -- 5 Starting point: resolvent of kernels -- 6 Notes/References -- III Analytic Potential Theory of Dirichlet Forms -- 1 Excessive functions and balayage -- 2 ?-exceptional sets and capacities -- 3 Quasi-continuity -- 4 Notes/References -- IV Markov Processes and Dirichlet Forms -- 1 Basics on Markov processes -- 2 Association of right processes and Dirichlet forms -- 3 Quasi-regularity and the construction of the process -- 4 Examples of quasi-regular Dirichlet forms -- 5 Necessity of quasi-regularity and some probabilistic potential theory -- 6 One-to-one correspondences -- 7 Notes/Refe 
653 |a Probability Theory and Stochastic Processes 
653 |a Potential Theory 
653 |a Potential theory (Mathematics) 
653 |a Probabilities 
700 1 |a Röckner, Michael  |e [author] 
710 2 |a SpringerLink (Online service) 
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989 |b SBA  |a Springer Book Archives -2004 
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856 |u https://doi.org/10.1007/978-3-642-77739-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519.2 
520 |a 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