Stochastic processes on non-Archimedean spaces. II. Stochastic antiderivational equations

Details Stochastic processes on non-Archimedean spaces. II. Stochastic antiderivational equations Stochastic processes on non-Archimedean spaces. II. Stochastic antiderivational equations

2001-04-05

arxiv.org/abs/math/0104070v3

Mathematics

General Mathematics

20 pages, Latex, in accordance with the desire of I.V. Volovich his name is transfered to the end of the paper

Scientific paper

Stochastic antiderivational equations on Banach spaces over local
non-Archimedean fields are investigated. Theorems about existence and
uniqiuness of the solutions are proved under definite conditions. In particular
Wiener processes are considered in relation with the non-Archimedean analog of
the Gaussian measure.

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