| Title:
|
Manifold-valued generalized functions in full Colombeau spaces (English) |
| Author:
|
Kunzinger, Michael |
| Author:
|
Nigsch, Eduard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
519-534 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions. (English) |
| Keyword:
|
algebras of generalized functions |
| Keyword:
|
manifold-valued generalized functions |
| Keyword:
|
full Colombeau algebras |
| MSC:
|
26E15 |
| MSC:
|
46F30 |
| MSC:
|
46T30 |
| idZBL:
|
Zbl 1249.46042 |
| idMR:
|
MR2863996 |
| . |
| Date available:
|
2011-12-16T14:26:56Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141746 |
| . |
| Reference:
|
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