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

Shigeo Kusuoka (auth.), M. Fukushima (eds.)9780387114842, 0-387-11484-X

Table of contents :
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