On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form (Q6203224)
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scientific article; zbMATH DE number 7810127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form |
scientific article; zbMATH DE number 7810127 |
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On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form (English)
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27 February 2024
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The author analyses a convolution-type equation on a finite interval having a kernel characterised by a logarithmic function whose argument depends on a hyperbolic cosine. The asymptotic behaviour of the spectrum of the integral operator associated with this equation is deduced by considering a corresponding conjugation problem for analytic functions and a consequent infinite system of linear algebraic equations.
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asymptotic behavior
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spectrum
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convolution-type operator
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