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

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.

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Bibliographic Details
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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine