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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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

edited by M. Fukushima

（Lecture notes in mathematics, 923）

Springer-Verlag, 1982

  • : Berlin
  • : New York

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Includes bibliographical references

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Table of Contents

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.

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