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Diffusion Kernels of Logarithmic Type

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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.

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References

  1. M. ItÔ, Les noyaux de convolution de type logarithmique, Théorie du potentiel, Proc. Orsay 1983, Lecture Notes in Math., Springer.

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  5. M. ItÔ, On weakly regular Hunt diffusion kernels, Hokkaido Math. J., 10 (1981).

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  6. N. Suzuki, Invariant measures for uniformly recurrent diffusion kernels, Hiroshima Math. J., 13, 3 (1983).

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© 1988 Plenum Press, New York

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ItÔ, M. (1988). Diffusion Kernels of Logarithmic Type. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_18

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  • DOI: https://doi.org/10.1007/978-1-4613-0981-9_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8276-1

  • Online ISBN: 978-1-4613-0981-9

  • eBook Packages: Springer Book Archive

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