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

Häftad, Engelska, 1982

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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.