Email this article The Mixed Fourier–Bessel Transform of a Radial Bessel j-Function
- Authors: Lyakhov L.N.1, Yeletskikh K.S.2
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Affiliations:
- Voronezh State University
- Bunin Yelets State University
- Issue: Vol 226, No 4 (2017)
- Pages: 388-401
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239993
- DOI: https://doi.org/10.1007/s10958-017-3541-y
- ID: 239993
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Abstract
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.
About the authors
L. N. Lyakhov
Voronezh State University
Author for correspondence.
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
K. S. Yeletskikh
Bunin Yelets State University
Email: levnlya@mail.ru
Russian Federation, 28, ul. Kommunarov, Yelets, 399770
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