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arxiv: math/0104070 · v3 · submitted 2001-04-05 · 🧮 math.GM

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

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keywords non-archimedeanstochasticantiderivationalequationsprocessesspacesanalogbanach
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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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