Asymptotic behavior of the density of the spectral measure of the Sturm-Liouville singular operator

DOI10.1007/S10958-007-0127-0zbMath1155.34316OpenAlexW2084361109MaRDI QIDQ941964

A. S. Pechentsov, Anton Yu. Popov

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0127-0

zbMATH Keywords

potentialasymptotic expansionSturm-Liouville operatorspectral functionspectral measure

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Cites Work

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• Asymptotic behavior of spectral functions of the differential operators \(-y-\varepsilon x^2y\)
• The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations
• The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −x^c(c ≦ 2)
• Spectral Asymptotics for Sturm-Liouville Equations
• Some theorems on perturbation theory. Ill
• Asymptotic behavior of the spectral measure of the operator family \(-y-\epsilon xy\)

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