The Lebesgue constants for Fourier-Bessel series, mean convergence, and the order of singularity of a Sturm-Liouville equation

DOI10.1016/0022-247X(84)90143-4zbMath0591.33006MaRDI QIDQ1074748

Clemens Markett

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hankel translationLebesgue constantsSturm-Liouville equationseigenfunction expansionsmean convergenceFourier- Bessel series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Ordinary differential operators (34L99)

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Cites Work

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• Variation diminishing Hankel transforms
• Positivity and the convolution structure for Jacobi series
• Maximal theorems for some orthogonal series II
• The mean convergence of orthogonal series. III
• ON THE L_p CONVERGENCE OF EIGENFUNCTION EXPANSIONS
• Hankel Multiplier Transformations and Weighted p-Norms
• The Lebesgue Constants for Jacobi Series, I
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Summability for Ultraspherical Polynomials.
• Classical Analysis and the Generalized Heat Equation
• Mean Convergence of Jacobi Series
• A Convolution Structure for Jacobi Series
• Mean Convergence of Hermite and Laguerre Series. I
• The Mean Convergence of Fourier-Bessel Series
• The Mean Convergence of Orthogonal Series