English

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

General Mathematics 2007-05-23 v3

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.

Keywords

Cite

@article{arxiv.math/0104070,
  title  = {Stochastic processes on non-Archimedean spaces. II. Stochastic antiderivational equations},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:math/0104070},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:38:07.271Z