A continuous function space with a Faber basis.

DOI10.1016/J.JAT.2003.11.007zbMath1070.33019OpenAlexW1969720056MaRDI QIDQ1418961

Josef Obermaier

Publication date: 14 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.11.007

zbMATH Keywords

FourierWiener algebraseriesPolynomialBasisContinuous functionLittle \(q\)-Legendre polynomials

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (5)

Nonnegative linearization for little \(q\)-Laguerre polynomials and Faber basis ⋮ On the absence of stability of bases in some Fréchet spaces ⋮ A modified Fejér and Jackson summability method with respect to orthogonal polynomials ⋮ The Pełczyński and Dunford–Pettis properties of the space of uniform convergent Fourier series with respect to orthogonal polynomials ⋮ Unnamed Item

Cites Work

• Little \(q\)-Legendre polynomials and irrationality of certain Lambert series.
• ORTHOGONAL EXPANSIONS FOR L^P- AND C-SPACES
• The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
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