Some new bases for \(p\)-adic continuous functions

DOI10.1016/0019-3577(93)90055-4zbMath0791.46061OpenAlexW2065503970MaRDI QIDQ2367459

Stany De Smedt

Publication date: 15 August 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(93)90055-4

zbMATH Keywords

orthonormal basisMahler basisGauss-normlocally compact complete non-archimedean field with non-trivial valuation

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Orthonormal bases for \(p\)-adic continuous and continuously differentiable functions ⋮ The digit principle

Cites Work

• Interpolation series for continuous functions on π-adic completions of GF(q, x)
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