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Local properties of Colombeau generalized functions

✍ Scribed by Michael Oberguggenberger; Stevan Pilipovic; Dimitris Scarpalezos

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
189 KB
Volume
256
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Generalized functions as mappings defined on the set of generalized points are considered. Local properties of generalized functions, singular support and various types of 𝒢^∞^–regularity are analyzed. Suppleness and non–flabbyness are proved. Necessary and sufficient conditions on generalized functions extendable out of an open set, are given. Colombeau microfunctions are introduced.

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