Mathematics and Statistics Vol. 1(4), pp. 196 - 203
DOI: 10.13189/ms.2013.010404
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The Continuous Wavelet Transform for A Bessel Type Operator on the Half Line

R.F. Al Subaie , M.A. Mourou ^*
Department of Mathematics, College of Sciences for Girls, University of Dammam, P.O.Box 1982, Dammam 31441, Saudi Arabia

ABSTRACT

We consider a singular differential operator Δ on the half line which generalizes the Bessel operator. Using harmonic analysis tools corresponding to Δ, we construct and investigate a new continuous wavelet transform on [0,∞[ tied to Δ. We apply this wavelet transform to invert an intertwining operator between Δ and the second derivative operator d²/dx².

KEYWORDS
Singular differential operator, generalized wavelets, generalized continuous wavelet transform

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R.F. Al Subaie , M.A. Mourou , "The Continuous Wavelet Transform for A Bessel Type Operator on the Half Line," Mathematics and Statistics, Vol. 1, No. 4, pp. 196 - 203, 2013. DOI: 10.13189/ms.2013.010404.

(b). APA Format:
R.F. Al Subaie , M.A. Mourou (2013). The Continuous Wavelet Transform for A Bessel Type Operator on the Half Line. Mathematics and Statistics, 1(4), 196 - 203. DOI: 10.13189/ms.2013.010404.