On continuous Bessel wavelet transformation associated with the Hankel-Hausdorff operator

Abstract

The main objective of this paper is to study the continuous Bessel wavelet transformation and its inversion formula, and the Parseval relation using the theory of the Hankel convolution. A relation between the Bessel wavelet transformation and the Hankel-Hausdorff operator is established. © 2012 Copyright Taylor and Francis Group, LLC.