Manifold-valued generalized functions in full Colombeau spaces

Michael Kunzinger; Eduard Nigsch

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 4, page 519-534
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Kunzinger, Michael, and Nigsch, Eduard. "Manifold-valued generalized functions in full Colombeau spaces." Commentationes Mathematicae Universitatis Carolinae 52.4 (2011): 519-534. <http://eudml.org/doc/247052>.

@article{Kunzinger2011,
abstract = {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.},
author = {Kunzinger, Michael, Nigsch, Eduard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {algebras of generalized functions; manifold-valued generalized functions; full Colombeau algebras; generalized function; manifold-valued generalized function; full Colombeau algebra},
language = {eng},
number = {4},
pages = {519-534},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Manifold-valued generalized functions in full Colombeau spaces},
url = {http://eudml.org/doc/247052},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Kunzinger, Michael
AU - Nigsch, Eduard
TI - Manifold-valued generalized functions in full Colombeau spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 4
SP - 519
EP - 534
AB - 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.
LA - eng
KW - algebras of generalized functions; manifold-valued generalized functions; full Colombeau algebras; generalized function; manifold-valued generalized function; full Colombeau algebra
UR - http://eudml.org/doc/247052
ER -

References

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