Remarks on the Paley--Wiener--Schwarz theorem for the Fourier--Bessel transform
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 81-87

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In this paper, we discuss consequences of the Paley–Wiener–Schwarz theorem for the Fourier–Bessel transform, namely, assertions on the existence of finite solutions of singular differential equations, on the accompanying criterion for singular differential operators, and on sufficient conditions for the compactness of the support of a distribution.
Keywords: finite distribution, Paley–Wiener–Schwarz theorem
Mots-clés : Fourier–Bessel transform.
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     author = {M. V. Polovinkina and I. P. Polovinkin},
     title = {Remarks on the {Paley--Wiener--Schwarz} theorem for the {Fourier--Bessel} transform},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
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M. V. Polovinkina; I. P. Polovinkin. Remarks on the Paley--Wiener--Schwarz theorem for the Fourier--Bessel transform. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 81-87. http://geodesic.mathdoc.fr/item/INTO_2021_195_a9/