Geodesic
The Wiener--Feynman stochastic process on a superspace
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 652-656

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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. 
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     author = {A. Yu. Khrennikov},
     title = {The {Wiener--Feynman} stochastic process on a superspace},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {652--656},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a15/}
}
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A. Yu. Khrennikov. The Wiener--Feynman stochastic process on a superspace. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 652-656. http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a15/