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

descriptionPublicationkeyboard_double_arrow_right Article Publisher:Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK ``Nauka/Interperiodica'', Moscow
Authors: Vinokurov, V. A.; Sadovnichiĭ, V. A.;

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

Abstract

Consider the boundary value problem \[ y''+(\lambda+q(x))y=0,\quad 0

Keywords

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Linear boundary value problems for ordinary differential equations

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