Harmonic analysis of little \(q\)-Legendre polynomials

DOI10.1016/j.jat.2023.105946arXiv2008.08079OpenAlexW3060066583MaRDI QIDQ6048259

Stefan Kahler

Publication date: 10 October 2023

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

Full work available at URL: https://arxiv.org/abs/2008.08079

zbMATH Keywords

orthogonal polynomialscontinued fractionsweak amenabilitylittle \(q\)-Legendre polynomials\(L^1\)-algebras on hypergroupsFourier analysis on hypergroups

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on hypergroups (43A62) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

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