Line antiderivations over local fields and their applications

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dc.creatorLudkovsky, S. V.
dc.date2003-12-23
dc.date.accessioned2026-07-07T05:04:09Z
dc.date.available2026-07-07T05:04:09Z
dc.descriptionA non-Archimedean antiderivational line analog of the Cauchy-type line integration is defined and investigated over local fields. Classes of non-Archimedean holomorphic functions are defined and studied. Residues of functions are studied, Lorent series representations are described. Moreover, non-Archimedean antiderivational analogs of integral representations of functions and differential forms such as the Cauchy-Green, Martinelli-Bochner, Leray, Koppelman and Koppelman-Leray formulas are investigated. Applications to manifold and operator theories are studied.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/math/0312431
dc.identifierhttp://arxiv.org/abs/math/0312431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69692
dc.subjectComplex Variables
dc.subject46S10
dc.titleLine antiderivations over local fields and their applications
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