Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions

DOI10.3906/MAT-2101-76zbMath1496.42008OpenAlexW3141732400MaRDI QIDQ5100247

R. V. Khats'

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2101-76

zbMATH Keywords

entire functionbasisBessel functionweighted spacecomplete systemminimal system

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (2)

Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator ⋮ Generalized eigenvectors of linear operators and biorthogonal systems

Cites Work

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• A remark on basis property of systems of Bessel and Mittag-Leffler type functions
• Complete biorthogonal systems of Bessel functions
• Some approximation properties of the systems of Bessel functions of index \(-3/2\)
• Complete sets of Bessel and Legendre functions
• Completeness, special functions and uncertainty principles overq-linear grids
• UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS
• The Mean Convergence of Fourier-Bessel Series

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