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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