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Andreas Debrouwere and Eduard A. Nigsch
Sheaves of nonlinear generalized function spaces view print
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| Published: |
December 5, 2017
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| Keywords: |
Colombeau algebras, multiplication of ultradistributions, nonlinear generalized functions, full algebra |
| Subject: |
primary: 46F30, secondary: 46T30 |
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Abstract
We provide a framework for the construction of diffeomorphism invariant sheaves of nonlinear generalized functions spaces. As applications, global algebras of generalized functions for distributions on manifolds and diffeomorphism invariant algebras of generalized functions for ultradistributions are constructed.
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| Acknowledgements
The first author gratefully acknowledges support by Ghent University, through a BOF Ph.D.-grant. The second author was supported by grant P26859 of the Austrian Science Fund (FWF)
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| Author information
Andreas Debrouwere:
Department of Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium
Andreas.Debrouwere@UGent.be
Eduard A. Nigsch:
Wolfgang Pauli Institute, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
eduard.nigsch@univie.ac.at
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