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Daghestan Electronic Mathematical Reports, 2019, Issue 11, Pages 11–24
DOI: https://doi.org/10.31029/demr.11.2
(Mi demr68)
 

Titchmarsh's theorem of Hankel transform

Boudref Mohamed-Ahmed

University of Bouira
References:
Abstract: 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.
Keywords: Hankel transform, Titchmarsh theorem, Generalized derivatives in the sense of Levi.
Received: 21.01.2019
Revised: 29.05.2019
Accepted: 30.01.2019
Document Type: Article
UDC: 517.4
Language: English
Citation: Boudref Mohamed-Ahmed, “Titchmarsh's theorem of Hankel transform”, Daghestan Electronic Mathematical Reports, 2019, no. 11, 11–24
Citation in format AMSBIB
\Bibitem{Bou19}
\by Boudref Mohamed-Ahmed
\paper Titchmarsh's theorem of Hankel transform
\jour Daghestan Electronic Mathematical Reports
\yr 2019
\issue 11
\pages 11--24
\mathnet{http://mi.mathnet.ru/demr68}
\crossref{https://doi.org/10.31029/demr.11.2}
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