On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight

DOI10.1134/S0037446620050146OpenAlexW3091388792MaRDI QIDQ2202773

N. V. Rastegaev, Uta Renata Freiberg

Publication date: 30 September 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620050146

zbMATH Keywords

Sturm-Liouville operatorspectral asymptoticsself-similar measurebounded distortion propertyself-conformal measure

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

\( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ An approximation of solutions to heat equations defined by generalized measure theoretic Laplacians

Cites Work

• On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight
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• On spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with arithmetically self-similar weight of a generalized Cantor type
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• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• Spectral distribution of a differential operator
• Refinement of the spectral asymptotics of generalized Krein Feller operators
• 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
• ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS
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