We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transform.
@article{1172,
title = {Reproducing inversion formulas for the Dunkl-Wigner transforms},
journal = {CUBO, A Mathematical Journal},
volume = {17},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/1172}
}
Soltani, Fethi. Reproducing inversion formulas for the Dunkl-Wigner transforms. CUBO, A Mathematical Journal, Tome 17 (2015) 14 p. http://gdmltest.u-ga.fr/item/1172/