Line antiderivations over local fields and their applications
Complex Variables
2007-05-23 v1
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, 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.
Keywords
Cite
@article{arxiv.math/0312431,
title = {Line antiderivations over local fields and their applications},
author = {S. V. Ludkovsky},
journal= {arXiv preprint arXiv:math/0312431},
year = {2007}
}
Comments
53 pages