New York Journal of Mathematics
Volume 15 (2009) 37-72


Khaled Benmeriem and Chikh Bouzar

Generalized Gevrey ultradistributions

Published: February 12, 2009
Keywords: Generalized functions, Gevrey ultradistributions, Colombeau generalized functions, Gevrey wave front, Microlocal analysis, Product of ultradistributions
Subject: 46F30, 46F10, 35A18

We first introduce new algebras of generalized functions containing Gevrey ultradistributions and then develop a Gevrey microlocal analysis suitable for these algebras. Finally, we give an application through an extension of the well-known Hörmander's theorem on the wave front of the product of two distributions.

Author information

Khaled Benmeriem:
Centre Universitaire de Mascara. Algeria

Chikh Bouzar:
Department of Mathematics, Oran-Essenia University. Algeria