Solutions of quasianalytic equations

DOI10.1007/s00029-017-0345-3zbMath1425.26020arXiv1605.01425OpenAlexW2964194875MaRDI QIDQ2412557

Edward Bierstone, André Belotto da Silva, Iwo Biborski

Publication date: 23 October 2017

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01425

zbMATH Keywords

resolution of singularitiesanalytic continuationblowing upWeierstrass preparationDenjoy-Carleman classquasianalyticpower substitution

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) (C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items

Polynomial inequalities, o-minimality and Denjoy-Carleman classes, Ultradifferentiable extension theorems: a survey, Power substitution in quasianalytic Carleman classes, Composite quasianalytic functions, Solutions of some quasianalytic equations

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