ENGLISH

Analytic elements in p-adic analysis

By Alain Escassut

Book information

Publisher
World Scientific
Year
1995
ISBN
9810222343, 9789810222345
Language
english
Format
PDF
Filesize
27 MB (28134961 bytes)
Pages
400\400
Time added
2012-12-29 17:00:00

Description

The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the elements, Mittag-Leffler series, factorization, Motzkin factorization, maximum principle, injectivity, algebraic properties of the algebra of the analytic elements on D, problems of analytic extension. This is applied to the differential equation y'=hy (y,h analytic elements on D), analytic interpolation, p-adic group duality on meromorphic products and to the p-adic Fourier transform

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