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Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions.

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Publication:1432471
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zbMath1090.34603MaRDI QIDQ1432471

V. A. Vinokurov, Victor A. Sadovnichij

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05)


Related Items

Distribution of the spectrum of a singular positive Sturm-Liouville operator perturbed by the Dirac delta function ⋮ Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order \(2m\) ⋮ Distribution of the spectrum of a singular Sturm-Liouville operator perturbed by the Dirac delta function ⋮ Traces of differential operators ⋮ Regularized traces of the Airy operator perturbed by the Dirac delta function ⋮ Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces



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