Some Properties of the Fourier-Bessel Transform

Symposia on Theoretical Physics and Mathematics ◽

10.1007/978-1-4899-5424-4_16 ◽

1968 ◽

pp. 189-192

Author(s):

G. Källén

Keyword(s):

Bessel Transform

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Titchmarsh's theorem of Hankel transform

Daghestan Electronic Mathematical Reports ◽

10.31029/demr.11.2 ◽

2019 ◽

pp. 11-24

Author(s):

Mohamed-Ahmed Boudref

Keyword(s):

Number Theory ◽

Data Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Lipschitz Condition ◽

Analytic Number Theory ◽

Hankel Transform ◽

Partial Differential ◽

Analytic Number ◽

Bessel Transform

Hankel transform (or Fourier-Bessel transform) is a fundamental tool in many areas of mathematics and engineering, including analysis, partial differential equations, probability, analytic number theory, data analysis, etc. In this article, we prove an analog of Titchmarsh's theorem for the Hankel transform of functions satisfying the Hankel-Lipschitz condition.

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An algorithm for the Fourier-Bessel transform

Computer Physics Communications ◽

10.1016/0010-4655(81)90175-2 ◽

1981 ◽

Vol 23 (4) ◽

pp. 343-353 ◽

Cited By ~ 53

Author(s):

S.M. Candel

Keyword(s):

Bessel Transform

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Paley–Wiener theorem for the q-Bessel transform and associated q-sampling formula

Expositiones Mathematicae ◽

10.1016/j.exmath.2008.07.002 ◽

2009 ◽

Vol 27 (1) ◽

pp. 55-72 ◽

Cited By ~ 9

Author(s):

Lazhar Dhaouadi ◽

Wafa Binous ◽

Ahmed Fitouhi

Keyword(s):

Sampling Formula ◽

Wiener Theorem ◽

Bessel Transform

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An Experimental Approach to The Description of Contour Segments using the Fourier-Bessel Transform

Systems Thinking in Europe ◽

10.1007/978-1-4615-3748-9_30 ◽

1991 ◽

pp. 231-236

Author(s):

J. Cabrera ◽

A. Falcón ◽

F. M. Hernández ◽

J. Méndez

Keyword(s):

Experimental Approach ◽

Bessel Transform

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Distance-Dependent Modeling of Head-Related Transfer Functions Based on Spherical Fourier-Bessel Transform

Communications in Computer and Information Science - Man-Machine Speech Communication ◽

10.1007/978-981-10-8111-8_13 ◽

2018 ◽

pp. 132-141

Author(s):

Xiaoke Qi ◽

Jianhua Tao

Keyword(s):

Transfer Functions ◽

Bessel Transform

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Evaluation of the spherical Bessel transform of a Whittaker function: An application of a difference equation method

Journal of Mathematical Physics ◽

10.1063/1.529623 ◽

1992 ◽

Vol 33 (6) ◽

pp. 2005-2012 ◽

Cited By ~ 1

Author(s):

Leonard C. Maximon

Keyword(s):

Difference Equation ◽

Whittaker Function ◽

Equation Method ◽

Bessel Transform

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Generalized Bessel transform of $(\beta, \gamma)$-generalized Bessel Lipschitz functions

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.91.85 ◽

2015 ◽

Vol 91 (6) ◽

pp. 85-88 ◽

Cited By ~ 1

Author(s):

Radouan Daher ◽

Mohamed El Hamma

Keyword(s):

Lipschitz Functions ◽

Bessel Transform

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Sampling expansion for the continuous bessel transform

Applicable Analysis ◽

10.1080/00036818808839723 ◽

1988 ◽

Vol 27 (1-3) ◽

pp. 47-65 ◽

Cited By ~ 4

Author(s):

Ahmed I. Zayed

Keyword(s):

Bessel Transform

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Real Paley-Wiener Theorems for the Multivariable Bessel Transform

International Journal of Open Problems in Complex Analysis ◽

10.12816/0006032 ◽

2014 ◽

Vol 6 (1) ◽

pp. 90-110

Author(s):

Ch´erine Chettaoui ◽

Youssef Othmani

Keyword(s):

Bessel Transform

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Update of spherical Bessel transform: FFTW and OpenMP

Computer Physics Communications ◽

10.1016/j.cpc.2010.08.024 ◽

2010 ◽

Vol 181 (12) ◽

pp. 2212-2213 ◽

Cited By ~ 4

Author(s):

Peter Koval ◽

J.D. Talman

Keyword(s):

Bessel Transform

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