On the existence of the absolutely continuous component for the measure associated with some orthogonal systems (Q1348998)
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scientific article; zbMATH DE number 1742867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of the absolutely continuous component for the measure associated with some orthogonal systems |
scientific article; zbMATH DE number 1742867 |
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On the existence of the absolutely continuous component for the measure associated with some orthogonal systems (English)
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21 May 2002
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By studying the asymptotics of eigenfunctions as the spectral parameter goes to infinity in the upper half-plane, the author investigates properties (existence, location) of the essential support of the absolutely continuous component of the spectral measure for Krein systems (equivalently, the Dirac systems) and for Sturm-Liouville operators. The results are formulated for particular classes of coefficients of the systems.
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absolutely continuous spectrum
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Krein systems
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Sturm-Liouville operators
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Dirac systems
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