Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes

@article{Servi2013MultivariableNT,
  title={Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes},
  author={Tamara Servi},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
  • Tamara Servi
  • Published 2013
  • Mathematics
  • arXiv: Algebraic Geometry
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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