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Fourier-Bessel transform

Fourier-Bessel transform

[‚fu̇r·ē‚ā ¦bes·əl ′tranz‚fȯrm]
(mathemtics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
From the Maxwell system (1)--(3) a differential equation for the azimuthal component of the electric field strength [E.sub.[phi]](p,[lambda],z) can be obtained, which after the integral Fourier-Bessel transform takes the form [8].
The main aim of this paper is to establish an analog of Theorem 1.1 in the generalized Fourier-Bessel transform. We point out that similar results have been established in the Dunkl transform [3].
The generalized Fourier-Bessel transform we call the integral from [2]
Let f [member of] [L.sup.1.sub.[alpha],n], the inverse generalized Fourier-Bessel transform is given by the formula
The Fourier-Bessel transform of a function f [member of] D(R) is defined by
(i) The Fourier-Bessel transform [F.sub.[alpha]] is a topological isomorphism from D(R) onto H.
In isotropic case [??] depends only on the corresponding radial coordinate [rho] = [parallel][xi][parallel], and [[??].sub.1]([rho]) = [??]([xi]) is the Fourier-Bessel transform of [k.sub.1](r),
It is well known that the Fourier-Bessel transform of the exponential correlation function is
This leads to an estimation of the density [[??].sub.1] of the Bartlett-Spectrum using the 1-dimensional Fourier-Bessel transform as defined by Eq.
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