An ergodic measure on a locally convex topological vector space |
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Authors: | Hiroshi Sato |
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Institution: | Department of Mathematics, Kyushu University-33, Hakozaki, Fukuoka 812, Japan |
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Abstract: | The aim of this paper is to give a way to construct a probability measure with nice ergodic properties on a locally convex topological vector space. We have two motivations; one is to give a generalization of a Gaussian measure and the other is to give an example of a probability measure with a rich kernel space. |
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