TY - JOUR AU - Daher, R. AU - Hamma, M. El AU - Houasni, A. El PY - 2012/11/01 Y2 - 2024/03/28 TI - Titchmarsh's Theorem for the Bessel Transform JF - MATEMATIKA JA - MATEMATIKA VL - 28 IS - SE - Mathematics DO - 10.11113/matematika.v28.n.567 UR - https://matematika.utm.my/index.php/matematika/article/view/567 SP - 127-131 AB - 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. ER -