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The Mixed Fourier–Bessel Transform of a Radial Bessel j-Function

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We find the weighted spherical mean of the kernel of the mixed Fourier–Bessel transform and the mixed Fourier–Bessel transform of a radial compactly supported function. In a space of weighted distributions, we obtain a formula for the mixed Fourier–Bessel transform of a radial Bessel j-function in terms of weighted Kipriyanov distributions.

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Authors and Affiliations

  1. Voronezh State University, 1, Universitetskaya pl., Voronezh, 394006, Russia

    L. N. Lyakhov

  2. Bunin Yelets State University, 28, ul. Kommunarov, Yelets, 399770, Russia

    K. S. Yeletskikh

Authors
  1. L. N. Lyakhov
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  2. K. S. Yeletskikh
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Correspondence to L. N. Lyakhov.

Additional information

Translated from Problemy Matematicheskogo Analiza 89, July 2017, pp. 51-62.

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Lyakhov, L.N., Yeletskikh, K.S. The Mixed Fourier–Bessel Transform of a Radial Bessel j-Function. J Math Sci 226, 388–401 (2017). https://doi.org/10.1007/s10958-017-3541-y

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  • DOI: https://doi.org/10.1007/s10958-017-3541-y

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