Affine ultraregular generalized functions
Volume 88 / 2010
Banach Center Publications 88 (2010), 39-53
MSC: Primary 46F30; Secondary 35A18, 46F10.
DOI: 10.4064/bc88-0-4
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.
