Functional Analysis in Markov Processes: Proceedings of the International Workshop Held at Katata, Japan, August 21–26, 1981 and of the International Conference Held at Kyoto, Japan, August 27–29, 1981

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Author(s): Shigeo Kusuoka (auth.), M. Fukushima (eds.)
Series: Lecture Notes in Mathematics 923
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1982

Language: English
Pages: 310
City: Berlin; New York
Tags: Probability Theory and Stochastic Processes; Analysis

Analytic functionals of Wiener process and absolute continuity....Pages 1-46
Dual markovian semigroups and processes....Pages 47-75
Dirichlet forms associated with direct product diffusion processes....Pages 76-119
Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics....Pages 120-132
Diffusions, quantum fields and groups of mappings....Pages 133-145
On absolute continuity of multidimensional symmetrizable diffusions....Pages 146-176
Some remarks on energy and duality....Pages 177-187
The invariant meauures, probability flux and circulations of one-dimensional Markov processes....Pages 188-198
On a probabilistic interpretation for the Riesz transforms....Pages 199-203
Divisible convex cones constituted by hunt convolution kernels....Pages 204-226
Notes on polar sets for Levy processes on the line....Pages 227-234
Krein's spectral theory of strings and generalized diffusion processes....Pages 235-259
Potential of recurrent symmetric Markov processes and its associated Dirichlet spaces....Pages 260-275
Sur une decomposition des ponts de bessel....Pages 276-285
On the spectrum of Markov semigroups and the existence of invariant measures....Pages 286-307