Extension of the Ahiezer-Kac determinant formula to the case of real-valued symbols with two real zeros (Q1841185)
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scientific article; zbMATH DE number 1569417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of the Ahiezer-Kac determinant formula to the case of real-valued symbols with two real zeros |
scientific article; zbMATH DE number 1569417 |
Statements
Extension of the Ahiezer-Kac determinant formula to the case of real-valued symbols with two real zeros (English)
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21 June 2001
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First the authors give historical remarks on the Szegő limit theorem with its extensions and continuous analogues of Szegő's results with the Ahiezer-Kac formula. Then the Fredholm determinant asymptotics for self-adjoint convolution operators on finite intervals with real symbols vanishing on the real axis is considered. The obtained formulae are direct extensions of the Ahiezer-Kac-Szegő limit theorem.
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Ahiezer-Kac determinant formula
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self-adjoint convolution operators
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Wiener-Hopf decomposition
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Ahiezer-Kac-Szegő limit theorem
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Fredholm determinant
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real symbols
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