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Interdisciplinary Mathematical & Statistical Techniques (Shanghai 2007)
May 20-23, 2007
University of Science and Technology of China
Hefei, Anhui, P.R.China

Organizers
Bin Wang, Shuguang Zhang and Satya Mishra

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Harmonic Analysis on the Laguerre hypergroup and Applications
by
Miloud Assal
Département de Mathématiques, Faculté des Sciences de Bizerte, Jarzouna - Bizerte - 7021. TUNISIA.
Coauthors: Miloud Assal

We introduce a new harmonic analysis on the Laguerre hypergroup.We study the continuity of generalized pseudo-differential operator Bs, a on Sobolev-Laguerre space and its dual in the class of symbols. Also, we give the analogous result related to the commutator [Bs, a , Ij ] where
Ij = F-1(jF(.)) . j is being a suitable function and F is the Laguerre Fourier transform.

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Date received: January 26, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cata-50.