Diffusion Kernels of Logarithmic Type

  • Masayuki ItÔ

Abstract

Let X be a locally compact, non-compact Hausdorff space with countable basis. We denote by:
  • CK(X) the usual topological vector space of all finite continuous functions with compact support;

  • C(X) the usual Fréchet space of all finite continuous functions on X;

  • MK(X) the usual topological vector space of all real Radon measures with compact support;

  • M(X) the topological vector space of real Radon measures on X with the weak topology.

Keywords

Convolution Radon Hunt 

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References

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    M. ItÔ, Les noyaux de convolution de type logarithmique, Théorie du potentiel, Proc. Orsay 1983, Lecture Notes in Math., Springer.Google Scholar
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    M. ItÔ, Une caractérisation des noyaux de convolution réels de type logarithmique, Nagoya Math. J., 97 (1985).Google Scholar
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    M. ItÔ, Le principe semi-complet du maximum pour les noyaux de convolution réels, Nagoya Math. J., 101 (1986).Google Scholar
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    G. Choquet and J. Deny, Aspects linéaires de la théorie du potentiel, Théorème de dualité et applications, C. R. Acad. Sc. Paris, 243 (1959).Google Scholar
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    M. ItÔ, On weakly regular Hunt diffusion kernels, Hokkaido Math. J., 10 (1981).Google Scholar
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    N. Suzuki, Invariant measures for uniformly recurrent diffusion kernels, Hiroshima Math. J., 13, 3 (1983).Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Masayuki ItÔ
    • 1
  1. 1.Department of MathematicsNagoya UniversityChikusa-ku, Nagoya 464Japan

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