Sampling and eigenvalues of non-self-adjoint Sturm--Liouville problems (Q2719277)
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scientific article; zbMATH DE number 1608936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sampling and eigenvalues of non-self-adjoint Sturm--Liouville problems |
scientific article; zbMATH DE number 1608936 |
Statements
21 June 2001
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eigenvalues
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nonselfadjoint Sturm-Liouville
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interpolation
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sampling theory
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Sampling and eigenvalues of non-self-adjoint Sturm--Liouville problems (English)
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An extension of the sampling method is established for the computation of the eigenvalues of a regular Sturm-Liouville boundary value problem with complex-valued potential function and boundary condition constants. It is shown that the function recovered by sampling on the real line extends analytically into the complex plane. A direct connection with polynomial approximation is also proved.
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