5 citations · 7 across the 3 of their papers we have counts for
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math.CV2001
Control of radii of convergence and extension of subanalytic functions
Edward Bierstone
Let g denote a real analytic function on an open subset U of Euclidean space, and let S denote the boundary points of U where g does not admit a local analytic extension. We show t…
math.AG2001
Differentiable functions defined in closed sets. A problem of Whitney
E. Bierstone, P. D. Milman, W. Pawlucki
In 1934, Whitney raised the question of how to recognize whether a function f defined on a closed subset X of Euclidean space is the restriction of a function that is continuously…
math.CV2001
Resolution of singularities in Denjoy-Carleman classes
Edward Bierstone, Pierre D. Milman
We show that a version of the desingularization theorem of Hironaka holds for certain classes of infinitely differentiable functions (essentially, for subrings that exclude flat fu…