Ultraregular generalized functions
Algebras of ultradifferentiable generalized functions are introduced. We give a microlocal analysis within these algebras related to the regularity type and the ultradifferentiable property.
math.FA↗
arXiv subjects
Khaled Benmeriem
Publications and source records attributed to Khaled Benmeriem.
Generalized Gevrey ultradistributions
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.
math.FA↗