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ArticleOriginal scientific text

Title

Sur la division et la composition dans des classes ultradifférentiables

Authors 1, 2

Affiliations

  1. U.R.A. C.N.R.S. 757, Université Paris-Sud, Mathématiques - Bât. 425, 91405 Orsay Cedex, France
  2. U.R.A. C.N.R.S. 751, Université de Lille, U.F.R. de Mathématique - Bât. M2, 59655 Villeneuve d'Ascq Cedex, France

Abstract

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.

Bibliography

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Studia Mathematica
1999/136/1
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Pages:
49-70
Main language of publication
French
Received
1998-07-23
Published
1999
Exact and natural sciences