A note on completeness of basic trigonometric system in \({\mathcal L}^2\)

DOI10.1216/rmjm/1181075479zbMath1050.33012OpenAlexW2045246612MaRDI QIDQ1880859

Sergei K. Suslov

Publication date: 1 October 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181075479

zbMATH Keywords

basic trigonometric functionsbasic Fourier seriescompleteness of the basic trigonometric system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (2)

Asymptotics of zeros of basic sine and cosine functions ⋮ Some expansions in basic Fourier series and related topics

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