An application of internal objects to microlocal analysis in generalized function algebras

2016/01/30 by Hans Vernaeve, Vernaeve, Hans
Mathematics · #35A18 #46F30 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #math.FA #msc:35A18 #msc:46F30

paper · pdf · doi:10.48550/arxiv.1602.00117

14 pages

arxiv created 2016/01/30 · openalex publication_date 2016/01/30 · arxiv updated 2016/02/02 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We illustrate the use of internal objects in the nonlinear theory of generalized functions by means of an application to microlocal analysis in Colombeau algebras.

Related

• Microlocal properties of basic operations in Colombeau algebras
• Regularity, Local and Microlocal Analysis in Theories of Generalized Functions
• Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
• Local Functions : Algebras, Ideals, and Reduced Power Algebras
• Microlocal analysis and beyond