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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 6, Pages 980–989
(Mi zvmmf9614)
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This article is cited in 1 scientific paper (total in 1 paper)
Estimates for the Fourier–Bessel transforms of multivariate functions
V. A. Abilova, M. K. Kerimovb a Daghestan State University
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Abstract:
Two estimates useful in applications are proved for the Fourier–Bessel (or Hankel) transform in the space for some classes of two-variable functions characterized by a generalized modulus of continuity.
Key words:
Fourier–Bessel integral transform, generalized shift operator, generalized derivatives, estimate for the Fourier–Bessel transform.
Received: 12.01.2012
Citation:
V. A. Abilov, M. K. Kerimov, “Estimates for the Fourier–Bessel transforms of multivariate functions”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 980–989; Comput. Math. Math. Phys., 52:6 (2012), 836–845
Linking options:
https://www.mathnet.ru/eng/zvmmf9614 https://www.mathnet.ru/eng/zvmmf/v52/i6/p980
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Abstract page: | 493 | Full-text PDF : | 151 | References: | 84 | First page: | 24 |
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