Searcharxiv⌕ Search

arXiv subjects

Chikh Bouzar

Publications and source records attributed to Chikh Bouzar.

9 recordsLinked to original sources
arXiv2024

Almost automorphic hyperfunctions

Almost automorphy in the context of hyperfunctions is the main aim of this work. We give different equivalent definitions of almost automorphic hyperfunctions and then we study this class of hyperfunctions.

math.FA↗
arXiv2016

Almost automorphic distributions

This work deals with almost automorphy of distributions. We give characterizations and main properties of these distributions. We also study the existence of distributional almost automorphic solutions of linear difference-differential equations.

math.FA↗
arXiv2011

Almost periodic generalized functions

The aim of this paper is to introduce and to study an algebra of almost periodic generalized functions containing the classical Bohr almost periodic functions as well as almost periodic Schwartz distributions

math.FA↗
arXiv2010

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↗
arXiv2007

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↗