Title | Functional Analysis in Markov Processes [electronic resource] : 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 |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1982 |
Connect to | http://dx.doi.org/10.1007/BFb0093034 |
Descript | CCCXVI, 310 p. online resource |
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