http://swrc.ontoware.org/ontology#UnrefereedArticle
Ultraregular generalized functions of Colombeau type
en
Generalized functions
ultradifferentiable functions
Colombeau algebra
wave front
microlocal analysis
Denjoy-Carleman classes
Gevrey generalized functions
BENMERIEM Khaled
BOUZAR Chikh
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions are introduced. We give a microlocal analysis within these algebras related to the regularity type and the ultradifferentiable property. As a particular case we obtain new algebras of Gevrey generalized functions.
Journal of mathematical sciences, the University of Tokyo
15
4
427-447
2009-02-20
13405705
AA11021653
application/pdf
415
Graduate School of Mathematical Sciences, The University of Tokyo