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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Xu, Z. (1995). The Hardy-Littlewood maximal function for Chébli-Trimèche Hypergroups,Contemporary Math.,183, 45–70.
Author information
Authors and Affiliations
Additional information
Communicated by Michael W. Frazier
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02475991