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Titchmarsh's theorem of Hankel transform
Boudref Mohamed-Ahmed University of Bouira
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
Citation:
Boudref Mohamed-Ahmed, “Titchmarsh's theorem of Hankel transform”, Daghestan Electronic Mathematical Reports, 2019, no. 11, 11–24
Linking options:
https://www.mathnet.ru/eng/demr68 https://www.mathnet.ru/eng/demr/y2019/i11/p11
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Abstract page: | 131 | Full-text PDF : | 45 | References: | 26 |
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