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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

  • Conference proceedings
  • © 1982

Overview

Editors:
  1. M. Fukushima
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 923)

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Table of contents (15 papers)

  1. Front Matter

    Pages N2-IV
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  2. Analytic functionals of Wiener process and absolute continuity

    • Shigeo Kusuoka
    Pages 1-46

  3. Dual markovian semigroups and processes

    • Yves Le Jan
    Pages 47-75

  4. Dirichlet forms associated with direct product diffusion processes

    • Matsuyo Tomisaki
    Pages 76-119

  5. Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics

    • Sergio Albeverio, Raphael Høegh-Krohn
    Pages 120-132

  6. Diffusions, quantum fields and groups of mappings

    • Sergio Albeverio, Raphael Høegh-Krohn
    Pages 133-145

  7. On absolute continuity of multidimensional symmetrizable diffusions

    • M. Fukushima
    Pages 146-176

  8. Some remarks on energy and duality

    • R. K. Getoor, M. J. Sharpe
    Pages 177-187

  9. The invariant meauures, probability flux and circulations of one-dimensional Markov processes

    • Gong Guang, Qian Minping
    Pages 188-198

  10. On a probabilistic interpretation for the Riesz transforms

    • Richard F. Gundy, Martin L. Silverstein
    Pages 199-203

  11. Divisible convex cones constituted by hunt convolution kernels

    • Masayuki Itô
    Pages 204-226

  12. Notes on polar sets for Levy processes on the line

    • Mamoru Kanda
    Pages 227-234

  13. Krein's spectral theory of strings and generalized diffusion processes

    • S. Kotani, S. Watanabe
    Pages 235-259

  14. Potential of recurrent symmetric Markov processes and its associated Dirichlet spaces

    • Yôichi Ôshima
    Pages 260-275

  15. Sur une decomposition des ponts de bessel

    • Jim Pitman, Marc Yor
    Pages 276-285

  16. On the spectrum of Markov semigroups and the existence of invariant measures

    • Daniel W. Stroock
    Pages 286-307

  17. Back Matter

    Pages 308-310
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Keywords

Bibliographic Information

  • Book Title: Functional Analysis in Markov Processes

  • Book Subtitle: 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

  • Editors: M. Fukushima

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093034

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1982

  • Softcover ISBN: 978-3-540-11484-0Published: 01 April 1982

  • eBook ISBN: 978-3-540-39155-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCCXVI, 310

  • Topics: Probability Theory and Stochastic Processes, Analysis

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