Spectrum of a Jacobi matrix with exponentially growing matrix elements

DOI10.3103/S0027132211060040zbMath1304.47041MaRDI QIDQ2513249

I. A. Sheipak

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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

Cites Work

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• Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string
• Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight
• Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum.
• Indefinite Sturm-Liouville problem for some classes of self-similar singular weights
• Asymptotics of the eigenvalues of two-diagonal Jacobi matrices
• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight

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