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arXiv · 1304.0108

Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes

Tamara Servi
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Abstract

We show how to solve explicitly an equation satisfied by a real function belonging to certain general quasianalytic classes. Examples of the classes under consideration are the collection of convergent generalised power series, a class of functions which contains some Dulac Transition Maps of real analytic planar vector fields, quasianalytic Denjoy-Carleman classes and the collection of multisummable series.

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Tamara Servi. 2013-03-30. Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes. https://arxiv.org/abs/1304.0108

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