Expansion of characteristic functions of open sets of the ring of \(p\)-adic integers with respect to some polynomials in the \(p\)-adic norm and a special case of the Weierstrass-Stone theorem

DOI10.1007/BF00968590zbMath0518.46063OpenAlexW2086557523MaRDI QIDQ1053953

H. Markšaitis, P. Grincevičius

Publication date: 1983

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968590

zbMATH Keywords

ring of real-valued continuous functionssubring generated by polynomialsWeierstrass-Stone theorem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean valued fields (12J25)

Related Items (1)

\(p\)-adic interpolation and approximation of a continuous function by linear combinations of shifts of \(p\)-adic valuations

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