On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform (Q1594003)
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scientific article; zbMATH DE number 1557338
| Language | Label | Description | Also known as |
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| English | On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform |
scientific article; zbMATH DE number 1557338 |
Statements
On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform (English)
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28 January 2001
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The Fourier-Bessel transform was used earlier to construct operators inverting the so-called \(B\)-potentials (potentials generated by a generalized translation \(T^y_x\)). The multidimensional form of this translation is used in this paper. There are shown appropriate analogues of the generalized convolver theorem and the multiplier theorem for special classes of functions.
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mixed Fourier-Bessel transform
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generalized translation
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generalized convolver
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