期刊
MATHEMATISCHE NACHRICHTEN
卷 286, 期 10, 页码 1007-1021出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/mana.200910280
关键词
Diffeomorphism invariant Colombeau algebra; point value characterization; pointvalues; algebras of generalized functions; invertibility of generalized functions; generalized numbers; MSC (2010); 46F30
类别
资金
- START-project of the Austrian Science Fund [Y237, P20525]
- Doctoral College Differential Geometry and Lie Groups of the University of Vienna
- Austrian Science Fund (FWF) [P23714] Funding Source: Austrian Science Fund (FWF)
We present a point value characterization for elements of the elementary full Colombeau algebra G(e)(Omega) and the diffeomorphism invariant full Colombeau algebra G(d)(Omega). Moreover, several results from the special algebra G(s)(Omega) about generalized numbers and invertibility are extended to the elementary full algebra.
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