p-adic Functional Analysis

1st Edition

N. De Grande-De Kimpe, Jerzy Kakol, C. Perez-Garcia

CRC Press
Published July 7, 1999
Reference - 348 Pages
ISBN 9780824782542 - CAT# DK4210
Series: Lecture Notes in Pure and Applied Mathematics

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Summary

A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.

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