Vol. 214, No. 2, 2004

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel

Fethi Soltani

Vol. 214 (2004), No. 2, 379–397
Abstract

In this paper we study a class of generalized Fock spaces associated with the Dunkl operators. Next we introduce the commutator relations between the Dunkl operators and multiplication operators which lead to a generalized class of Weyl commutation relations for the Dunkl kernel.

Milestones
Received: 25 July 2002
Revised: 26 June 2003
Published: 1 April 2004
Authors
Fethi Soltani
Department of Mathematics
Faculty of Sciences of Tunis
University of Tunis-EL Manar
1060 Tunis
Tunisia