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Un théorème de préparation pour fonctions à développement Tchébychévien

Published online by Cambridge University Press:  19 September 2008

Pierre Joyal
Pierre Joyal
Affiliation:
Departement d'informatique et de mathématique, Université du Québec à Chicoutimi, 555, boulevard d'Université, Montréal, Québec, CanadaG7H 2B1
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Abstract

In this article, we prove a preparation theorem for functions which admit a certain type of expansion called Chebychev expansion. Taylor expansions are particular cases of Chebychev expansions. The result is based on an approach essentially different from those used for the classical preparation theorems. It has applications in bifurcation theory of vector fields.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 2 , June 1994 , pp. 305 - 329
Copyright
Copyright © Cambridge University Press 1994

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References

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