Indefinite Sturm-Liouville problem for some classes of self-similar singular weights

DOI10.1134/S0081543806040079zbMath1351.34023arXivmath/0507017OpenAlexW2061140158MaRDI QIDQ2342259

A. A. Vladimirov, I. A. Sheipak

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507017

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24)

Related Items (12)

Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues ⋮ Sturm-Liouville operators with measure-valued coefficients ⋮ Trace of order \((-1)\) for a string with singular weight ⋮ A boundedness criterion for the variations of self-similar functions ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight ⋮ On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight ⋮ Spectrum of a Jacobi matrix with exponentially growing matrix elements ⋮ On a class of singular Sturm–Liouville problems ⋮ On Spectral Periodicity for the Sturm–Liouville Problem: Cantor Type Weight, Neumann and Third Type Boundary Conditions ⋮ On the Spectrum of Some Class of Jacobi Operators in a Krein Space ⋮ Asymptotics of the spectrum of a differential operator with the weight generated by the Minkowski function

Cites Work

• Unnamed Item
• 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
• Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals

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