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Arc-quasianalytic functions by Bierstone, Edward; Milman, Pierre D.; Valette, Guillaume is a scholarly article available to read on EtoBox.

What is Arc-quasianalytic functions about?

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) = 0. We prove that f is arc-quasianalytic (i.e., its restriction to every quasianalytic arc is quasianalytic) if and only if f becomes quasianalytic after (a locally finite covering of U by) finite sequences of local blowing-ups. This generalizes a theorem of the first two authors on arc-analytic functions.

Author

Bierstone, Edward; Milman, Pierre D.; Valette, Guillaume

Published

2014

Language

EN