Analytic Elements in P-Adic Analysis

Ultrametric absolute values and norms infraconnected sets monotonous and circular filters the ultrametric absolute values on K(x) valuation functions u(h,mu) on K(x) hensel lemma the analytic elements factorization of analytic elements the Mittage-Leffler theorem derivative of analytic elements elements vanishing along a monotonous filter quasi-minorated elements analytic elements meromorphic in a hole Motzkin factorization maximum in a circle with holes T-filters and T-sequences integrally closed algebras H(D) absolute values in algebras H(D) idempotent T-sequences injectivity, Mittag-Leffler series and Motzkin products generalities on the differential equation y'=fy in H(D) the equation y'=fy in zero residue characteristic p-adic group duality p-adic Fourier transform. (Part Contents).

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