Quasianalytic Ilyashenko algebras

Speissegger, Patrick

Quasianalytic Ilyashenko algebras

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Datum

2018

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen 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

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

generalized series expansion, quasianalyticity, transition map

Zitieren

ISO 690

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

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}
}

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