Line antiderivations over local fields and their applications

S. V. Ludkovsky

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-47

Abstract:

A 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; Laurent 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:678131

DOI: 10.1155/IJMMS.2005.263

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