Asymptotics of the spectrum of a differential operator with the weight generated by the Minkowski function

DOI10.1134/S0001434615010319zbMath1328.34089MaRDI QIDQ2353738

I. A. Sheipak

Publication date: 16 July 2015

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

zbMATH Keywords

boundary-value problemHausdorff dimensionMinkowski functionMinkowski measurespectrum of a differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

\( L_2\)-small ball asymptotics for Gaussian random functions: a survey

Cites Work

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• Sur une fonction réelle de Minkowski
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• Note on a Singular Function of Minkowski
• On a Spectral Problem Related to Self-Similar Measures
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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