局部域上的直线不定导数及其应用

IF 1 Q1 MATHEMATICS INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-12-23 DOI:10.1155/IJMMS.2005.263

S. Ludkovsky

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引用次数: 2

摘要

定义并研究了柯西型线积分的非阿基米德反导数线模拟。定义并研究了非阿基米德全纯函数的类。研究了函数的残数;描述了洛朗级数表示。此外，还研究了函数的积分表示和微分形式的非阿基米反导数类似物，如Cauchy-Green、Martinelli-Bochner、Leray、Koppelman和Koppelman-Leray公式。研究了流形和算子理论的应用。

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Line antiderivations over local fields and their applications

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.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.