On globally nilpotent differential equations
In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of r...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
3 March 2010
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| In: |
Journal of differential equations
Year: 2010, Volume: 248, Issue: 11, Pages: 2736-2745 |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/j.jde.2010.02.009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jde.2010.02.009 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0022039610000574 
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| Author Notes: | Michael Dettweiler, Stefan Reiter |
MARC
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| 520 | |a In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of rank two which does not belong to the known classes of globally nilpotent rank two systems. | ||
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