Titchmarsh's Theorem for the Bessel Transform

Authors

  • R. Daher
  • M. El Hamma
  • A. El Houasni

DOI:

https://doi.org/10.11113/matematika.v28.n.567

Abstract

In [1] Titchmarsh proved some theorems on the classical Fourier transform of functions satisfying conditions related to the Cauchy-Lipschitz conditions on the Euclidean space R. In this paper we extend one those theorems for the Bessel transform for function on half-line [0,1) in a weighted Lp-metric are studied with the use of Bessel generalized translation. Keywords: Bessel operator; Bessel transform; Bessel generalized translation. 2010 Mathematics Subject Classification: 42B10; 42A38; 42B37.

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Published

2012-11-01

Issue

Section

Mathematics