UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS

DOI10.32523/2077-9879-2020-11-4-76-86zbMath1488.42045OpenAlexW3116480099MaRDI QIDQ4963457

R. V. Khats', B. V. Vynnyts'kyi, Iryna Bogdanovna Sheparovich

Publication date: 18 February 2021

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj384

zbMATH Keywords

entire function of exponential typeunconditional basisBessel functioninterpolation problemcomplete interpolating sequence

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Entire functions of one complex variable (general theory) (30D20) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation by other special function classes (41A30) Representations of entire functions of one complex variable by series and integrals (30D10) 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 (3)

Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions ⋮ Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator ⋮ Generalized eigenvectors of linear operators and biorthogonal systems

Cites Work

• A remark on basis property of systems of Bessel and Mittag-Leffler type functions
• Description of unconditional bases formed by values of the Dunkl kernels
• Interpolation theorems and expansions with respect to Fourier type systems
• Spectral analysis of biorthogonal expansions generated by Muckenhoupt weights
• Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
• On convergence and divergence of Fourier-Bessel series
• 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
• Weighted Paley-Wiener spaces
• Analytic Fourier Transforms and Exponential Approximations. II
• The Mean Convergence of Fourier-Bessel Series
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