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

01-11-2012

Issue

Volume 28 (December 2012)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Titchmarsh’s Theorem for the Bessel Transform. (2012). MATEMATIKA, 28, 127-131. https://doi.org/10.11113/matematika.v28.n.567