Exact estimate for the spectral function of the singular Schrödinger operator (Q1096089)
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scientific article; zbMATH DE number 4030085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact estimate for the spectral function of the singular Schrödinger operator |
scientific article; zbMATH DE number 4030085 |
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Exact estimate for the spectral function of the singular Schrödinger operator (English)
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1987
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The author studies the spectral function of the singular Schrödinger operators with a countably set of complex eigenvalues, defined on bounded three dimensional domains. In the main result of the paper it is proved that the spectral function can be expressed as a sum of two functions: one of them is explicitly defined and for the another it is given an estimate. From this it is deduced a sufficient condition of summability for the eigenfunction expansions.
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spectral function
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singular Schrödinger operators
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summability for the eigenfunction expansions
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