ON DIVISION OF QUASIANALYTIC FUNCTION GERMS

DOI10.1142/S0129167X13501115zbMath1286.14075arXiv1310.1487MaRDI QIDQ5397559

Krzysztof Jan Nowak

Publication date: 24 February 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1487

zbMATH Keywords

composite function theorempolynomially bounded structuresquasianalytic function germstransformation to a normal crossing

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (4)

Solutions of quasianalytic equations ⋮ Ultradifferentiable CR manifolds ⋮ Composite quasianalytic functions ⋮ Quantifier elimination in quasianalytic structures via non-standard analysis

Cites Work

• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Resolution of singularities in Denjoy-Carleman classes
• Link between Noetherianity and the Weierstrass Division Theorem on some quasianalytic local rings
• Division of Distributions by Locally Definable Quasianalytic Functions
• A note on Bierstone–Milman–Pawłucki's paper ``Composite differentiable functions
• Defining the smooth points of a quotient in polynomially bounded o -minimal structures
• Decomposition into special cubes and its applications to quasi-subanalytic geometry
• Weierstrass Division in Quasianalytic Local Rings
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Quantifier elimination, valuation property and preparation theorem in quasianalytic geometry via transformation to normal crossings
• Weierstrass division theorem in quasianalytic local rings
• Composite differentiable functions

This page was built for publication: ON DIVISION OF QUASIANALYTIC FUNCTION GERMS