Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator

DOI10.1007/S10958-023-06652-2MaRDI QIDQ6147846

R. V. Khats'

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

• On some approximation properties of the Bessel functions of order \(-5/2\).
• A remark on basis property of systems of Bessel and Mittag-Leffler type functions
• Boundedness of solutions of a second-order linear differential equation and a boundary value problem for the Bessel equation
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Spectral theory on S**2: some open questions
• Zonal Schrödinger operators on the \(n\)-sphere: Inverse spectral problem and rigidity
• A Borg-Levinson theorem for Bessel operators
• On approximation properties of one trigonometric system
• Complete biorthogonal systems of Bessel functions
• Some approximation properties of the systems of Bessel functions of index \(-3/2\)
• UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS
• Integral representation of one class of entire functions
• Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions
• The Mean Convergence of Fourier-Bessel Series
• Generalized eigenvectors of linear operators and biorthogonal systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator