Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string

DOI10.1134/S0001434610070254zbMath1242.28015OpenAlexW2044757245MaRDI QIDQ650280

I. A. Sheipak

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434610070254

zbMATH Keywords

singular pointsimilarity operatorsspectral orderself-similar functionStieltjes stringself-similar measure

Mathematics Subject Classification ID

Fractals (28A80)

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Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues ⋮ A boundedness criterion for the variations of self-similar functions ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight ⋮ Spectrum of a Jacobi matrix with exponentially growing matrix elements ⋮ Asymptotics of eigenvalues in a problem of high even order with discrete self-similar weight ⋮ On the Spectrum of Some Class of Jacobi Operators in a Krein Space

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