Three results in Dunkl analysis

Béchir Amri; Jean-Philippe Anker; Mohamed Sifi

Three results in Dunkl analysis

Béchir Amri; Jean-Philippe Anker; Mohamed Sifi

Colloquium Mathematicae (2010)

Volume: 118, Issue: 1, page 299-312
ISSN: 0010-1354

Access Full Article

top

Access to full text

Full (PDF)

Abstract

top

We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the

L^{p} \to L^{p}

norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.

How to cite

top

MLA
BibTeX
RIS

Béchir Amri, Jean-Philippe Anker, and Mohamed Sifi. "Three results in Dunkl analysis." Colloquium Mathematicae 118.1 (2010): 299-312. <http://eudml.org/doc/284265>.

@article{BéchirAmri2010,
abstract = {We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^\{p\} → L^\{p\}$ norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.},
author = {Béchir Amri, Jean-Philippe Anker, Mohamed Sifi},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {299-312},
title = {Three results in Dunkl analysis},
url = {http://eudml.org/doc/284265},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Béchir Amri
AU - Jean-Philippe Anker
AU - Mohamed Sifi
TI - Three results in Dunkl analysis
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 299
EP - 312
AB - We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^{p} → L^{p}$ norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
LA - eng
UR - http://eudml.org/doc/284265
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.