scientific article; zbMATH DE number 7238399

zbMath1463.30015MaRDI QIDQ5116178

R. V. Khats', B. V. Vynnyts'kyi

Publication date: 24 August 2020

Full work available at URL: http://mathnet.ru/eng/emj189

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zbMATH Keywords

entire functionBessel functionbiorthogonal systemcomplete systemminimal system

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) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) 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 (6)

Integral representation of one class of entire functions ⋮ 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 ⋮ Unnamed Item ⋮ UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS ⋮ Generalized eigenvectors of linear operators and biorthogonal systems

Cites Work

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• The inverse spectral problem for radial Schrödinger operators on \([0,1\)]
• On convergence and divergence of Fourier-Bessel series
• Lagrange interpolation in the zeros of Bessel functions by entire functions of exponential type and mean convergence
• Some approximation properties of the systems of Bessel functions of index \(-3/2\)
• Complete sets of Bessel and Legendre functions
• Analytic Fourier transforms and exponential approximations. I
• Hankel transforms and entire functions
• The Mean Convergence of Fourier-Bessel Series

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