Wow! eBook
Analytic Elements of P-Adic Analysis
Author(s): Alain Escassut (Author)
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 28 May 1995
- Language: English
- Print length: 404 pages
- ISBN-10: 9810222343
- ISBN-13: 9789810222345
Book Description
This is probably the first book dedicated to this topic. 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, factorization into meromorphic products and connections with Mittag-Leffler series. This is applied to the differential equation y’=hy (y,h analytic elements on D), analytic interpolation, injectivity, and to the p-adic Fourier transform.
