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

Abstract

We prove a Calderón 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.

References in corpus (1)

• Sonine Transform Associated to the Dunkl Kernel on the Real Line

Cited by in corpus (1)

• Sonine Transform Associated to the Bessel-Struve Operator