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

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

2009-07-14

arxiv.org/abs/0907.2341v1

SIGMA 5 (2009), 071, 12 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.071

We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet
transform on $\mathbb{R}$. We apply this result to derive new inversion
formulas for the dual Dunkl-Sonine integral transform.

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