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Calderón's formula associated with a differential operator on (0, ∞) and inversion of the generalized abel transform
Authors:M A Mourou  K Trimèche
Institution:(1) Department of Mathematics, Faculty of Sciences of Tunis, 1060 Tunis, Tunisia
Abstract:We prove a Calderón reproducing formula for a continuous wavelet transform 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.
Keywords:42A38-42B20
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