The Mean Convergence of Fourier-Bessel Series
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Publication:5587295
DOI10.1137/1009034zbMath0192.42904OpenAlexW2136387807MaRDI QIDQ5587295
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 systems ⋮ On Mean Convergence of Fourier‐Bessel Series of Negative Order ⋮ Product formulas and convolution structure for Fourier-Bessel series ⋮ Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions ⋮ Properties of Laplace-Stieltjes-type integrals ⋮ Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator ⋮ The Turán problem and its dual for positive definite functions supported on a ball in \(\mathbb{R}^d\) ⋮ Unnamed Item ⋮ A new weighted integral goodness-of-fit statistic for exponentiality ⋮ Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting ⋮ Higher order Riesz transforms for Fourier-Bessel expansions ⋮ Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform ⋮ Littlewood-Paley-Stein \(g_k\)-functions for Fourier-Bessel expansions ⋮ Spectral properties of ordinary differential operators admitting special decompositions ⋮ Weighted inequalities for the Bochner-Riesz means related to the Fourier-Bessel expansions ⋮ UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS ⋮ Unnamed Item ⋮ \(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions ⋮ On eigenfunction expansions associated with the classical orthogonal polynomials ⋮ Variation operators for semigroups associated with Fourier-Bessel expansions ⋮ The Bochner-Riesz means for Fourier-Bessel expansions ⋮ Some orthogonal and complete sets of Bessel functions associated with the vibrating plate ⋮ A remark on basis property of systems of Bessel and Mittag-Leffler type functions ⋮ The Lebesgue constants for Fourier-Bessel series, mean convergence, and the order of singularity of a Sturm-Liouville equation
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