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On methods of solution for some kinds of singular integral equations with convolution - MaRDI portal

On methods of solution for some kinds of singular integral equations with convolution (Q1096121)

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scientific article; zbMATH DE number 4030196
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On methods of solution for some kinds of singular integral equations with convolution
scientific article; zbMATH DE number 4030196

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    On methods of solution for some kinds of singular integral equations with convolution (English)
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    1987
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    The author gives the effective solution of singular integral equations with one or two convolution kernels in the singular part. The equation is investigated in the class \(\{0\}\subset L_ 2\) which was introduced in the book of \textit{F. D. Gakhov} and \textit{Yu. I. Cherskij} [Equations of convolution type (1978; Zbl 0458.45002)]. The paper is based on the works R. V. Duduchava and the reviewer with S. G. Samko.
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    Noether operator
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    integral equations of convolution type
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    Wiener-Hopf operators
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    discontinuous coefficients
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    dual equations
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    Riemann boundary value problems
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    Fourier transforms
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