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Canonical Fourier-Bessel transform and their applications

Journal of Pseudo-Differential Operators and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghazouani, Sami, Sahbani, Jihed
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Canonical Fourier-Bessel transform

2021
La transformation linéaire canonique est issue de différents domaines de la physique comme la mécanique hamiltonienne, l’optique paraxiale et du formalisme de la mécanique quantique. Dans ce dernier cas on se demande s’il existe des transformations linéaires dans l’espace des phases (position et quantité de mouvement) qui conserve la structure de la ...
Sahbani, Jihed, Dhaouadi, Lazhar
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An Analog of Titchmarsh’s Theorem for the Generalized Fourier–Bessel Transform

Lobachevskii Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S El Ouadih, M El Hamma, R Daher
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Quantitative Uncertainty Principles for the Canonical Fourier—Bessel Transform

Acta Mathematica Sinica, English Series, 2022
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Estimates for the Fourier-Bessel Transforms of Multivariate Functions

Computational Mathematics and Mathematical Physics, 2012
Summary: Two estimates useful in applications are proved for the Fourier-Bessel (or Hankel) transform in the space \(L_2(\mathbb R_+^2)\) for some classes of two-variable functions characterized by a generalized modulus of continuity.
M K Kerimov, V A Abilov
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Fast computation of Fourier-Bessel transforms

ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
The Fourier-Bessel transforms (also designated as Hankel transforms) arise in numerous signal processing problems. They are particularly important in image analysis, reconstruction of unknown media from projections, synthesis of waves from their spatial spectrum.
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On Self-reciprocal functions for Fourier-Bessel integral transforms

Mathematical Proceedings of the Cambridge Philosophical Society, 1961
Following Hardy and Titchmarsh(1) a function f(x) is said to be self-reciprocal if it satisfies the Fourier-Bessel integral transformwhere Jp(x) is a Bessel function of order P ≥ –½. This integral is denoted by Rp. The special cases P ½ and P ½, we denote by Rs and Rc, respectively.
Ahmad, Afzal, Lakshmikanth, V.
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An algorithm for the Fourier-Bessel transform

Computer Physics Communications, 1981
Abstract It is shown that the Fourier-Bessel (Hankel) transform may be calculated by means of a single one-dimensional Fourier transform followed by repeated summations of preselected Fourier components. For an N/2 Fourier/Bessel transformation of a complex function this algorithm involves of the order of N log2N multiplications and N2 additions and ...
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Integrability and Boas Type Results for a Generalized Fourier–Bessel Transform

Russian Mathematics
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.
S S Volosivets
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Face recognition based on Fourier-Bessel transformation

2016 35th Chinese Control Conference (CCC), 2016
In order to improve the recognition rate of face recognition when factors like gesture and illumination are involved so that the efficient of recognition decrease, this paper proposes a new face recognition method based on Gabor feature and Fourier-Bessel analysis.
Dali Gao, Zhaoquan Cai
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