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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 3, Pages 652–656
(Mi tvp4002)
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Short Communications
The Wiener–Feynman stochastic process on a superspace
A. Yu. Khrennikov Moscow State Institute of Electronic Technology (Technical University)
Abstract:
The theory of stochastic processes with values in a superspace over Banach superalgebras is developed. Stochastic processes are defined as distributions on the space of continuous paths with values in a superspace. Quasi–Gaussian distributions, particularly Gaussian and Feynman distributions and processes on a superspace, are studied. Solutions of the heat equation and the Shroedinger equation on a superspace are represented as probability means.
Keywords:
distribution on a superspace, cylinder processes, Wiener–Feynman process, representation of a solution as a mean.
Received: 28.06.1990
Citation:
A. Yu. Khrennikov, “The Wiener–Feynman stochastic process on a superspace”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 652–656; Theory Probab. Appl., 38:3 (1993), 533–537
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https://www.mathnet.ru/eng/tvp4002 https://www.mathnet.ru/eng/tvp/v38/i3/p652
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Abstract page: | 238 | Full-text PDF : | 78 | First page: | 14 |
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