Affine ultraregular generalized functions

• Autorzy: Khaled Benmeriem , Chikh Bouzar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35A18: Wave front sets
• 46F30: Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
• 46F10: Operations with distributions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 39-53

Daty

wydano

2010

Twórcy

autor

Khaled Benmeriem

• University of Mascara, Mascara, Algeria

autor

Chikh Bouzar

• Oran-Essenia University, Oran, Algeria

Identyfikatory

DOI

10.4064/bc88-0-4