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Teor. Veroyatnost. i Primenen., 1993, Volume 38, Issue 3, Pages 652–656 (Mi tvp4002)  

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.

Full text: PDF file (1343 kB)

English version:
Theory of Probability and its Applications, 1993, 38:3, 533–537

Bibliographic databases:

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

Citation in format AMSBIB
\Bibitem{Khr93}
\by A.~Yu.~Khrennikov
\paper The Wiener--Feynman stochastic process on a superspace
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 3
\pages 652--656
\mathnet{http://mi.mathnet.ru/tvp4002}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1404674}
\zmath{https://zbmath.org/?q=an:0807.60060}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 3
\pages 533--537
\crossref{https://doi.org/10.1137/1138052}


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