Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

DOI10.1090/spmj/1723zbMath1506.34108OpenAlexW4283581298MaRDI QIDQ5096468

I. A. Sheipak, E. B. Sharov

Publication date: 17 August 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1723

zbMATH Keywords

spectral asymptoticsstring equationself-similar functionsmultipliers in Sobolev spaces

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• The definition of a self-similar function in quasi-Banach spaces
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• An inverse problem for periodic Jacobi matrices
• Contributions to the analytic theory of continued fractions and infinite matrices
• On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• On a Spectral Problem Related to Self-Similar Measures
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