Orthonormal \(q\)-bases associated to some continuous linear operators on \(\mathcal C(\mathbb Z_p, K)\)

DOI10.1134/S2070046609040074zbMath1264.46053MaRDI QIDQ1760208

Fana Tangara

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

orthonormal basiscontinuous linear operator\(q\)-polynomialsequence of \(q\)-binomial type

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other nonanalytic theory (11S85)

Cites Work

• The use of operators for the construction of normal bases for the space of continuous functions on \(V_ q\)
• A \(q\)-analogue of Mahler expansions. I
• The construction of normal bases for the space of continuous functions on \(V_ q\), with the aid of operators
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