We generalize to some classes of ultradifferentiable jets or functions the classical Łojasiewicz Division Theorem and Glaeser Composition Theorem. The proof uses the desingularization results by Hironaka, Bierstone and Milman.
@article{bwmeta1.element.bwnjournal-article-smv136i1p49bwm,
author = {Jacques Chaumat and Anne-Marie Chollet},
title = {Sur la division et la composition dans des classes ultradiff\'erentiables},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {49-70},
zbl = {0942.26029},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p49bwm}
}
Chaumat, Jacques; Chollet, Anne-Marie. Sur la division et la composition dans des classes ultradifférentiables. Studia Mathematica, Tome 133 (1999) pp. 49-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p49bwm/
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