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Article Dans Une Revue Annales de l'Institut Fourier Année : 2015

Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes

Résumé

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.

Dates et versions

hal-03263134 , version 1 (17-06-2021)

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Tamara Servi. Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes. Annales de l'Institut Fourier, 2015. ⟨hal-03263134⟩
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