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

Abstract

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.

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

References in corpus (3)

• Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups
• Stochastic processes on non-Archimedean spaces. I. Stochastic processes on Banach spaces
• Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

Cited by in corpus (3)

• Algebras of non-Archimedean measures on groups
• Stochastic processes on non-Archimedean spaces. III. Stochastic processes on totally disconnected topological groups
• Non-Archimedean stochastic processes on non-Archimedean manifolds