Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions. (Q1432471)
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scientific article; zbMATH DE number 2074754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions. |
scientific article; zbMATH DE number 2074754 |
Statements
Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions. (English)
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15 June 2004
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Consider the boundary value problem \[ y''+(\lambda+q(x))y=0,\quad 0<x<\ell,\quad y(0)=y(\ell)=0,\tag{*} \] where the class of potentials \(q\) can contain \(\delta\)-functions as summands. The authors determine the asymptotic behavior of eigenvalues and eigenfunctions of (*) and a trace formula.
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