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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 195, Pages 81–87 (Mi into836)

This article is cited in 1 paper

Remarks on the Paley–Wiener–Schwarz theorem for the Fourier–Bessel transform

M. V. Polovinkinaa, I. P. Polovinkinb

a Voronezh State University of Engineering Technologies
b Voronezh State University

Abstract: 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, Fourier–Bessel transform.

UDC: 517.44, 517.98

MSC: 43A32

DOI: 10.36535/0233-6723-2021-195-81-87



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