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Quasianalytic Ilyashenko algebras
Journal article

Quasianalytic Ilyashenko algebras

Abstract

Abstract We construct a quasianalytic field of germs at +∞ of real functions with logarithmic generalized power series as asymptotic expansions, such that is closed under differentiation and log-composition; in particular, is a Hardy field. Moreover, the field o (−log) of germs at 0 + contains all transition maps of hyperbolic saddles of planar real analytic vector fields.

Authors

Speissegger P

Journal

Canadian Journal of Mathematics, Vol. 70, No. 1, pp. 1–28

Publisher

Canadian Mathematical Society

Publication Date

February 1, 2018

DOI

10.4153/cjm-2016-048-x

ISSN

0008-414X

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