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JOURNALS // Daghestan Electronic Mathematical Reports // Archive

Daghestan Electronic Mathematical Reports, 2019 Issue 11, Pages 11–24 (Mi demr68)

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.

UDC: 517.4

Received: 21.01.2019
Revised: 29.05.2019
Accepted: 30.01.2019

Language: English

DOI: 10.31029/demr.11.2



© Steklov Math. Inst. of RAS, 2024