Algebras of ultradifferentiable generalized functions satisfying some regularity assumptions are introduced. We give a microlocal analysis within these algebras related to the affine regularity type and the ultradifferentiability property. As a particular case we obtain new algebras of Gevrey generalized functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-4,
author = {Khaled Benmeriem and Chikh Bouzar},
title = {Affine ultraregular generalized functions},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {39-53},
zbl = {1201.46039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-4}
}
Khaled Benmeriem; Chikh Bouzar. Affine ultraregular generalized functions. Banach Center Publications, Tome 89 (2010) pp. 39-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-4/