Generalized Gevrey ultradistributions

Abstract

We first introduce new algebras of generalized functions containing Gevrey ultradistributions and then develop a Gevrey microlocal analysis suitable for these algebras. Finally, we give an application through an extension of the well-known Hörmander's theorem on the wave front of the product of two distributions.

References in corpus (1)

• Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity

Cited by in corpus (2)

• Optimal embeddings of ultradistributions into differential algebras
• Ultraregular generalized functions