The Mean Convergence of Fourier-Bessel Series

From MaRDI portal
Publication:5587295

DOI10.1137/1009034zbMath0192.42904OpenAlexW2136387807MaRDI QIDQ5587295

Harry Hochstadt

Publication date: 1967

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1009034




Related Items (25)

Density, spectral theory and homoclinics for singular Sturm-Liouville systemsOn Mean Convergence of Fourier‐Bessel Series of Negative OrderProduct formulas and convolution structure for Fourier-Bessel seriesCompleteness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functionsProperties of Laplace-Stieltjes-type integralsCompleteness of the system of generalized eigenfunctions for a Bessel-type differential operatorThe Turán problem and its dual for positive definite functions supported on a ball in \(\mathbb{R}^d\)Unnamed ItemA new weighted integral goodness-of-fit statistic for exponentialityTransferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel settingHigher order Riesz transforms for Fourier-Bessel expansionsRelating multipliers and transplantation for Fourier-Bessel expansions and Hankel transformLittlewood-Paley-Stein \(g_k\)-functions for Fourier-Bessel expansionsSpectral properties of ordinary differential operators admitting special decompositionsWeighted inequalities for the Bochner-Riesz means related to the Fourier-Bessel expansionsUNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONSUnnamed Item\(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansionsOn derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansionsOn eigenfunction expansions associated with the classical orthogonal polynomialsVariation operators for semigroups associated with Fourier-Bessel expansionsThe Bochner-Riesz means for Fourier-Bessel expansionsSome orthogonal and complete sets of Bessel functions associated with the vibrating plateA remark on basis property of systems of Bessel and Mittag-Leffler type functionsThe Lebesgue constants for Fourier-Bessel series, mean convergence, and the order of singularity of a Sturm-Liouville equation




This page was built for publication: The Mean Convergence of Fourier-Bessel Series