학술논문

Colombeau generalized Gevrey ultradistributions and their microlocal analysis
Document Type
Working Paper
Source
Operator Theory : Advances and Applications, v. 213, (2011)
Subject
Mathematics - Functional Analysis
Mathematics - Analysis of PDEs
46F30. 46F05. 46F10. 35A18. 35A27
Language
Abstract
The purpose of this paper is to construct and to study algebras of generalized Gevrey ultardistributions. We define the generalized Gevrey wave front and give its main properties. As a fundamental application, the well known Hormander's theorem on the product of two distributions is extended to the case of generalized Gevrey ultradistributions