IJPAM: Volume 37, No. 4 (2007)

DISTRIBUTIONAL DUNKL TRANSFORM
AND APPLICATIONS

Belgacem Ghribi$^1$, Khalifa Dabbek$^2$
$^{1,2}$Department of Mathematics
Faculty of Sciences
University of Gabés
Riadh Zug, Gabès, 6072, TUNISIA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]


Abstract.The purpose of this paper is to extend the Dunkl transform on new spaces of distributions. We study the fundamental properties of this extension and we give some applications.

Received: March 3, 2007

AMS Subject Classification: 44A15, 47B34, 60E05

Key Words and Phrases: Dunkl transform, Dunkl kernel, distribution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 4