Determination of the spectrum and eigenfunctions of a singular integral operator with an elliptic function as a kernel (Q2736120)
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scientific article; zbMATH DE number 1638104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determination of the spectrum and eigenfunctions of a singular integral operator with an elliptic function as a kernel |
scientific article; zbMATH DE number 1638104 |
Statements
28 August 2001
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spectrum
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eigenfunctions
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singular integral equation
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elliptic function
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kernel
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singular equation
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Cauchy kernel
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Determination of the spectrum and eigenfunctions of a singular integral operator with an elliptic function as a kernel (English)
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The authors consider a singular integral equation with an elliptic function as a kernel. The virtue of properties of the elliptic kernel the studied equation leads to a singular equation with Cauchy kernel. Hence the integral operator arising in the considered equation is a self-adjoint singular operator acting in \(L^2\). The spectrum and eigenfunctions are determined.
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0.7817329168319702
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0.7798692584037781
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