On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals. (Q1432716)
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scientific article; zbMATH DE number 2074968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals. |
scientific article; zbMATH DE number 2074968 |
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On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals. (English)
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15 June 2004
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The second author's previous results [see, e.g., Math. USSR, Sb. 42, 331--355 (1982; Zbl 0488.45016)] are generalized to a new class of integral operators whose kernels have derivatives with discontinuities on the lines \(t= x\) and \(t= 1-x\). For a more detailed exposition, see the authors' paper [Sb. Math. 192, 1451--1469 (2001; Zbl 1032.47027)].
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equiconvergence
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expansions in eigenfunctions
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integral operators
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Fourier expansions
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