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.
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Xu, Z. (1995). The Hardy-Littlewood maximal function for Chébli-Trimèche Hypergroups,Contemporary Math.,183, 45–70.
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Communicated by Michael W. Frazier
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Mourou, M.A., Trimèche, K. Calderón's formula associated with a differential operator on (0, ∞) and inversion of the generalized abel transform. The Journal of Fourier Analysis and Applications 4, 229–245 (1998). https://doi.org/10.1007/BF02475991
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DOI: https://doi.org/10.1007/BF02475991