Fractional Differentiation Operator over an Infinite Extension of a Local Field

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dc.creatorKochubei, Anatoly N.
dc.date1998-07-13
dc.date.accessioned2026-07-07T05:25:22Z
dc.date.available2026-07-07T05:25:22Z
dc.descriptionWe study a fractional differentiation operator for functions on the conjugate space to an infinite extension of a local field of zero characteristic which is a union of an increasing sequence of finite extensions. In particular, a representation in the form of a hypersingular integral operator is obtained. It is also shown that the corresponding diffusion measure is not absolutely continuous with respect to the Gaussian measure.
dc.description13 pages, AMS-LaTex
dc.identifierhttps://arxiv.org/abs/math/9807063
dc.identifierhttp://arxiv.org/abs/math/9807063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77153
dc.subjectFunctional Analysis
dc.subjectNumber Theory
dc.subjectProbability
dc.titleFractional Differentiation Operator over an Infinite Extension of a Local Field
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