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On the generalized convolution for the Fourier sine and the Kontorovich-Lebedev transforms - MaRDI portal

On the generalized convolution for the Fourier sine and the Kontorovich-Lebedev transforms (Q629748)

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scientific article; zbMATH DE number 5863969
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English
On the generalized convolution for the Fourier sine and the Kontorovich-Lebedev transforms
scientific article; zbMATH DE number 5863969

    Statements

    On the generalized convolution for the Fourier sine and the Kontorovich-Lebedev transforms (English)
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    10 March 2011
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    The authors study a generalized convolution involving the Fourier sine and Kontorovich-Lebedev transforms. Mapping properties are investigated and factorization equality is proved for this convolution operator. The obtained results are applied to the corresponding class of systems of integral equations.
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    convolution
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    Fourier transform
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    Kantorovich-Lebedev transform
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    integral equation of the convolution type
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