Quasianalytic Ilyashenko algebras
| dc.contributor.author | Speissegger, Patrick | |
| dc.date.accessioned | 2017-12-19T15:15:33Z | |
| dc.date.available | 2017-12-19T15:15:33Z | |
| dc.date.issued | 2018-02-01 | |
| dc.description.abstract | I construct a quasianalytic field F of germs at +∞ of real functions with logarithmic generalized power series as asymptotic expansions, such that F is closed under differentiation and log-composition; in particular, F is a Hardy field. Moreover, the field F o (−log) of germs at 0+ contains all transition maps of hyperbolic saddles of planar real analytic vector fields. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.4153/CJM-2016-048-x | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/40969 | |
| dc.language.iso | eng | eng |
| dc.subject | generalized series expansion, quasianalyticity, transition map | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Quasianalytic Ilyashenko algebras | eng |
| dc.type | JOURNAL_ARTICLE | eng |
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| kops.citation.bibtex | @article{Speissegger2018-02-01Quasi-40969,
year={2018},
doi={10.4153/CJM-2016-048-x},
title={Quasianalytic Ilyashenko algebras},
number={1},
volume={70},
issn={0008-414X},
journal={Canadian Journal of Mathematics},
pages={218--240},
author={Speissegger, Patrick}
} | |
| kops.citation.iso690 | SPEISSEGGER, Patrick, 2018. Quasianalytic Ilyashenko algebras. In: Canadian Journal of Mathematics. 2018, 70(1), pp. 218-240. ISSN 0008-414X. eISSN 1496-4279. Available under: doi: 10.4153/CJM-2016-048-x | deu |
| kops.citation.iso690 | SPEISSEGGER, Patrick, 2018. Quasianalytic Ilyashenko algebras. In: Canadian Journal of Mathematics. 2018, 70(1), pp. 218-240. ISSN 0008-414X. eISSN 1496-4279. Available under: doi: 10.4153/CJM-2016-048-x | eng |
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