Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes
Algebraic Geometry
2014-05-13 v5
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.
Keywords
Cite
@article{arxiv.1304.0108,
title = {Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes},
author = {Tamara Servi},
journal= {arXiv preprint arXiv:1304.0108},
year = {2014}
}