On the basicity of eigenfunctions of a second-order differential operator with a discontinuity point in weighted Lebesgue spaces

DOI10.29228/proc.15zbMath1479.34140OpenAlexW3021339192MaRDI QIDQ5140063

T. B. Gasymov, Nigar Rahib Ahmedzade, Azamat M. Akhtyamov

Publication date: 13 December 2020

Published in: Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29228/proc.15

zbMATH Keywords

basicityeigenfunctionsMuckenhoupt conditionweighted Lebesgue spacediscontinuous differential operator

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

On basicity of the system of eigenfunctions of one discontinuous spectral problemfor second order differential equation for grand-Lebesgue space

Cites Work

• Bases of exponentials, sines, and cosines in weighted spaces on a finite interval
• \(\mathcal K\)-Bessel and \(\mathcal K\)-Hilbert systems and \(\mathcal K\)-bases
• Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
• Basis property of eigenfunctions in Lebesgue spaces for a spectral problem with a point of discontinuity
• Bases of eigenfunctions of two discontinuous differential operators
• On bases for direct decomposition
• Bases of exponentials, sines and cosines in weighted spaces on a finite interval
• Inverse problems for nonabsorbing media with discontinuous material properties
• On basicity of eigenfunctions of second order discontinuous differential operator
• Analytic Fourier Transforms and Exponential Approximations. II
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Operators satisfying smoothness conditions
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