Download E-books Analytic elements in p-adic analysis PDF

By Alain Escassut

The behaviour of the analytic components on an infraconnected set D in ok an algebraically closed entire ultrametric box is principally defined via the round filters and the monotonous filters on D, specifically the T-filters: zeros of the weather, Mittag-Leffler sequence, factorization, Motzkin factorization, greatest precept, injectivity, algebraic homes of the algebra of the analytic parts on D, difficulties of analytic extension. this can be utilized to the differential equation y'=hy (y,h analytic parts on D), analytic interpolation, p-adic staff duality on meromorphic items and to the p-adic Fourier rework

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