Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Author: Mourou, M.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149135
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets / M.A. Mourou // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ.

We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.