CONTINUITY OF BESSEL TYPE WAVELET TRANSFORM AND RELATED RESULTS

Abstract

In this paper, the continuity of the Bessel type wavelet transform  of the function  in terms of a mother wavelet  is investigeted on certain distribution spaces when the Hankel type transform of  defined by . Finally a sobolev type space boundedness result is obtained.

Mathematics subject classification: 44A35, 33A40, 42C10.

Keywords: Bessel type wavelet transform, Hankel type transform, Bessel type operator, Sobolev type space.