Affine ultraregular generalized functions

Khaled Benmeriem, and Chikh Bouzar. "Affine ultraregular generalized functions." Banach Center Publications 88.1 (2010): 39-53. <http://eudml.org/doc/282514>.

@article{KhaledBenmeriem2010,
abstract = {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.},
author = {Khaled Benmeriem, Chikh Bouzar},
journal = {Banach Center Publications},
keywords = {generalized functions; ultradifferentiable functions; Colombeau algebra; wave front set; microlocal analysis; Denjoy-Carleman classes; Gevrey generalized functions},
language = {eng},
number = {1},
pages = {39-53},
title = {Affine ultraregular generalized functions},
url = {http://eudml.org/doc/282514},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Khaled Benmeriem
AU - Chikh Bouzar
TI - Affine ultraregular generalized functions
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 39
EP - 53
AB - 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.
LA - eng
KW - generalized functions; ultradifferentiable functions; Colombeau algebra; wave front set; microlocal analysis; Denjoy-Carleman classes; Gevrey generalized functions
UR - http://eudml.org/doc/282514
ER -