Integrability and Boas type results for a generalized Fourier–Bessel transform
https://doi.org/10.26907/0021-3446-2024-9-3-15
Abstract
We obtain sufficient conditions for weighted integrability of a generalized Fourier–Bessel transform of functions from generalized integral Lipschitz classes. These conditions are analogues of the well known Moricz conditions for classical Fourier transform. Also a Boas type result connecting the behavior of a function and the smoothness of its generalized Fourier–Bessel transform is proved.
About the Author
S. S. Volosivets
Saratov State University
Russian Federation
Russian Federation
Sergey Sergeevich Volosivets
83 Astrakhanskaya str., Saratov, 410012
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Review
For citations:
Volosivets S.S. Integrability and Boas type results for a generalized Fourier–Bessel transform. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(9):3-15. (In Russ.) https://doi.org/10.26907/0021-3446-2024-9-3-15
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