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."
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