Approximation theory

Daghestan Electronic Mathematical Reports: Issue 11 (2019)

Titchmarsh's theorem of Hankel transform

UDK: 517.4

Pages: 11 - 24

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.

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