Orthonormal bases for \(p\)-adic continuous and continuously differentiable functions

DOI10.5802/ambp.38zbMath0830.46070OpenAlexW2328348179MaRDI QIDQ1898762

Stany De Smedt

Publication date: 25 September 1995

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_1_275_0

zbMATH Keywords

Mahler and van der Put base of the Banach space of continuous functions

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)

Related Items (3)

Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems

Cites Work

• The van der Put base for \(C^ n\)-functions
• \(p\)-adic continuously differentiable functions of several variables
• Some new bases for \(p\)-adic continuous functions
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