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Preprint Number 1054

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1054. Patrick Speissegger
Quasianalytic Ilyashenko algebras
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Submission date: 7 June 2016

Abstract:

I construct a quasianalytic field F of germs at 0^+ of real functions with logarithmic generalized power series as asymptotic expansions, such that F contains all transition maps of hyperbolic saddles of planar real analytic vector fields and is closed under differentiation and composition; in particular, F is a Hardy field.

Mathematics Subject Classification: 41A60, 30E15

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Full text arXiv 1606.02751: pdf, ps.


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