Three results in Dunkl analysis
Béchir Amri ; Jean-Philippe Anker ; Mohamed Sifi
Colloquium Mathematicae, Tome 120 (2010), p. 299-312 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the Lp→Lp norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284265 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-16,
     author = {B\'echir Amri and Jean-Philippe Anker and Mohamed Sifi},
     title = {Three results in Dunkl analysis},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {299-312},
     zbl = {05691824},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-16}
}

Béchir Amri; Jean-Philippe Anker; Mohamed Sifi. Three results in Dunkl analysis. Colloquium Mathematicae, Tome 120 (2010) pp. 299-312. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-16/