FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 4, PAGES 1091-1105
S. V. Ludkovsky
Abstract
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The article is devoted to stochastic processes
on infinite dimensional topological groups
that do not satisfy the Campbell--Hausdorff formula
even locally. In the cases of real and complex manifolds
the classical stochastic analysis is used, but in the non-Archimedean case
the corresponding stochastic antiderivations and antiderivational
equations are developed and investigated.
For real-valued transition probabilities
of random processes the corresponding regular strongly continuous
unitary representations are constructed and their topological
irreducibility is analysed.
All articles are published in Russian.
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Last modified: April 17, 2002