Quasianalytic Ilyashenko algebras
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Speissegger, Patrick |
| Year of publication: | 2018 |
| Published in: | Canadian Journal of Mathematics ; 70 (2018), 1. - pp. 218-240. - ISSN 0008-414X. - eISSN 1496-4279 |
| DOI (citable link): | https://dx.doi.org/10.4153/CJM-2016-048-x |
| Summary: |
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.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | generalized series expansion, quasianalyticity, transition map |
| Refereed: | Yes |
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SPEISSEGGER, Patrick, 2018. Quasianalytic Ilyashenko algebras. In: Canadian Journal of Mathematics. 70(1), pp. 218-240. ISSN 0008-414X. eISSN 1496-4279. Available under: doi: 10.4153/CJM-2016-048-x
@article{Speissegger2018-02-01Quasi-40969, title={Quasianalytic Ilyashenko algebras}, year={2018}, doi={10.4153/CJM-2016-048-x}, number={1}, volume={70}, issn={0008-414X}, journal={Canadian Journal of Mathematics}, pages={218--240}, author={Speissegger, Patrick} }
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