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, 198

ISBN-13: 9783540114840 / Angielski / Miękka / 1982 / 310 str.

M. Fukushima

Opis

Springer Book Archives

Spis treści

Analytic functionals of Wiener process and absolute continuity.- Dual markovian semigroups and processes.- Dirichlet forms associated with direct product diffusion processes.- Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics.- Diffusions, quantum fields and groups of mappings.- On absolute continuity of multidimensional symmetrizable diffusions.- Some remarks on energy and duality.- The invariant meauures, probability flux and circulations of one-dimensional Markov processes.- On a probabilistic interpretation for the Riesz transforms.- Divisible convex cones constituted by hunt convolution kernels.- Notes on polar sets for Levy processes on the line.- Krein's spectral theory of strings and generalized diffusion processes.- Potential of recurrent symmetric Markov processes and its associated Dirichlet spaces.- Sur une decomposition des ponts de bessel.- On the spectrum of Markov semigroups and the existence of invariant measures.