8 citations · 56 across the 30 of their papers we have counts for
8 papers · 1 filter
Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class
André Belotto da Silva, Edward Bierstone, Avner Kiro
If F is an infinitely differentiable function whose composition with a blowing-up belongs to a Denjoy-Carleman class C_M (determined by a log convex sequence M=(M_k)), then F, in g…
Composite quasianalytic functions
André Belotto da Silva, Edward Bierstone, Michael Chow
We prove two main results on Denjoy-Carleman classes: (1) a composite function theorem which asserts that a function f(x) in a quasianalytic Denjoy-Carleman class Q, which is forma…
Global smoothing of a subanalytic set
Edward Bierstone, Adam Parusinski
We give rather simple answers to two long-standing questions in real-analytic geometry, on global smoothing of a subanalytic set, and on transformation of a proper real-analytic ma…
Malgrange division by quasianalytic functions
Edward Bierstone, Pierre D. Milman
Quasianalytic classes are classes of infinitely differentiable functions that satisfy the analytic continuation property enjoyed by analytic functions. Two general examples are qua…
Solutions of quasianalytic equations
Andre Belotto da Silva, Iwo Biborski, Edward Bierstone
The article develops techniques for solving equations G(x,y)=0, where G(x,y)=G(x_1,...,x_n,y) is a function in a given quasianalytic class (for example, a quasianalytic Denjoy-Carl…
Arc-quasianalytic functions
Edward Bierstone, Pierre D. Milman, Guillaume Valette
We work with quasianalytic classes of functions. Consider a real-valued function y = f(x) on an open subset U of Euclidean space, which satisfies a quasianalytic equation G(x, y) =…