Infinite dimensional complex analysis as a framework for products of distributions
by
Tsoy-Wo Ma
Vol. 1 No. 3 (2006) P.413~P.428
ABSTRACT
In nite dimensional complex analysis on locally convex spaces is used as the framework for products of distributions in the sense of Columbeau without the necessary prerequisites of Silva-di erentiability on bornological vector spaces, or calculus on convenient vector spaces, or nonstandard analysis. However, invariance under di eomorphisms is beyond the scope of this paper.
KEYWORDS
Products of distributions, complex analysis
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 46F10, 46F30
MILESTONES
Received: 2005-02-21
Revised :
Accepted:
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