p-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems

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dc.creatorAlbeverio, S.
dc.creatorKhrennikov, A. Yu.
dc.creatorShelkovich, V. M.
dc.date2005-12-16
dc.date.accessioned2026-07-07T06:54:39Z
dc.date.available2026-07-07T06:54:39Z
dc.descriptionIn this paper the p -adic Lizorkin spaces of test functions and distributions are introduced, and multidimensional Vladimirov's and Taibleson's fractional operators are studied on these spaces. Since the p -adic Lizorkin spaces are invariant under the Vladimirov and Taibleson operators, they can play a key role in considerations related to fractional operator problems. A class of p -adic pseudo-differential operators in the Lizorkin spaces is also introduced and solutions of pseudo-differential equations are constructed. p -Adic multidimensional Tauberian theorems connected with fractional operators and pseudo-differential operators for the Lizorkin distributions are also proved.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0512055
dc.identifierhttp://arxiv.org/abs/math-ph/0512055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106013
dc.subjectMathematical Physics
dc.subjectGeneral Mathematics
dc.subject11F85, 40E05; 26A33, 46F12
dc.titlep-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems
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