CALDERONS FORMULA ASSOCIATED WITH A DIFFERENTIAL OPERATOR ON (0,INFINITY) AND INVERSION OF THE GENERALIZED ABEL TRANSFORM

Authors
MOUROU MA TRIMECHE K
Citation
Ma. Mourou et K. Trimeche, CALDERONS FORMULA ASSOCIATED WITH A DIFFERENTIAL OPERATOR ON (0,INFINITY) AND INVERSION OF THE GENERALIZED ABEL TRANSFORM, The journal of fourier analysis and applications, 4(2), 1998, pp. 229-245
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
The journal of fourier analysis and applications → ACNP
ISSN journal
10695869
Volume
4
Issue
2
Year of publication
1998
Pages
229 - 245
Database
ISI
SICI code
1069-5869(1998)4:2<229:CFAWAD>2.0.ZU;2-Q
Abstract
We prove a Calderon reproducing formula for a continuous wavelet trans form associated with a class of singular differential operators on the half line. We apply this result to derive a new inversion formula for the generalized Abel transform.