Line antiderivations over local fields and their applications | Zendy

S. V. Lüdkovsky | Zendy

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Line antiderivations over local fields and their applications

Author(s) -

S. V. Lüdkovsky

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.263

Subject(s) - mathematics , holomorphic function , laurent series , pure mathematics , differential operator , cauchy distribution , operator (biology) , line (geometry) , manifold (fluid mechanics) , differential (mechanical device) , type (biology) , cauchy's integral formula , mathematical analysis , cauchy problem , initial value problem , geometry , biochemistry , chemistry , repressor , biology , transcription factor , engineering , gene , aerospace engineering , mechanical engineering , ecology

A non-Archimedean antiderivational line analog of the Cauchy-typeline integration is defined and investigated over local fields. Classes of non-Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurentseries 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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