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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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