Results 161 to 170 of about 1,096,865 (195)

The evaluation of Fourier-Bessel transforms in statistical mechanics

Chemical Physics Letters, 1986
Abstract The numerical evaluation of Fourier-Bessel transforms of oscillating functions as occurring in statistical mechanical perturbation theory is considered. It is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals.
José O. Valderrama, Germán A. Muñoz, Stanley I. Sandler   +2 more
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On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with 2n junction points

Ukrainian Mathematical Journal, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lenyuk, M. P., Olejnik, N. P.
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Integral Transforms and the Fourier Bessel Series

1971
It is not within the scope of this book to discuss the transform theory in detail; many books have been written on integral transforms. The reader will find an excellent summary of this theory with practical examples of its use in the book by J. Irving and N. Mullineux, Mathematics in Physics and Engineering.
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The Mixed Fourier–Bessel Transform of a Radial Bessel j-Function

Journal of Mathematical Sciences, 2017
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Lyakhov, L. N., Yeletskikh, K. S.
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Harmonic analysis associated to the canonical Fourier Bessel transform

Integral Transforms and Special Functions, 2020
The aim of this paper is to develop a new harmonic analysis related to a Bessel type operator Δνm on the real line: We define the canonical Fourier Bessel transform Fνm and study some of its import...
Lazhar Dhaouadi, Jihed Sahbani, Ahmed Fitouhi   +2 more
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Some Properties of the Fourier-Bessel Transform

1968
In the paper by Prof. Kotani (this volume p. 177), we saw that he made use of a pair of integral transforms which I will here write as Open image in new window Open image in new window should exist. Further, in the particular case that f(t) vanishes outside a finite interval (say between 0 and a) he found that the function F(r) has to satisfy a rather ...
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Paley–Wiener-type theorems for the canonical Fourier–Bessel transform

International Journal of Wavelets, Multiresolution and Information Processing
The aim of this paper is to establish several versions of Paley–Wiener-type theorems for the canonical Fourier–Bessel transform, which is a Bessel type of linear canonical transform indexed by a matrix parameter m [Formula: see text].
Minggang Fei, Yuanyuan Si
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Simultaneous calculation of Fourier-bessel transforms up to order N

Journal of Computational Physics, 1981
Abstract In many practical applications it is necessary to calculate the first N Fourier-Bessel transforms. This paper describes procedures allowing the simultaneous evaluation of these transforms. The calculation involves a basic one-dimensional Fourier transform, repeated selection of suitable Fourier components followed by successive evaluation ...
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UNCERTAINTY PRINCIPLES FOR THE GENERALIZED LINEAR CANONICAL FOURIER-BESSEL TRANSFORM

Journal of Mathematical Sciences
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Zakaria Sadik, Abdellatif Akhlidj
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Dual algorithms for fast calculation of the Fourier-Bessel transform

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
This paper presents a new procedure for the fast calculation of the Fourier-Bessel transform. The computation is performed in a "dual" mode and involves two matched algorithms, the first of which provides the lower order components while the second yields intermediate and higher order samples of the transform.
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