Nous apportons une r\'eponse compl\`ete au probl\`eme de d\'ecidabilit\'e finie du comportement extremale locale d'une fonction analytique r\'eelle; probl\`eme auquel Severi et {\L}ojasiewicz donn\`erent des r\'eponses partielles dans quelques-uns de leurs travaux. We give a complete answer to the problem of the finite decidability of the local extremality character of a real analytic function; a problem that found partial answers in some works by Severi and {\L}ojasiewicz.

Sur les points critiques des fonctions analytiques réelles

ZAMPIERI, Gaetano
1995-01-01

Abstract

Nous apportons une r\'eponse compl\`ete au probl\`eme de d\'ecidabilit\'e finie du comportement extremale locale d'une fonction analytique r\'eelle; probl\`eme auquel Severi et {\L}ojasiewicz donn\`erent des r\'eponses partielles dans quelques-uns de leurs travaux. We give a complete answer to the problem of the finite decidability of the local extremality character of a real analytic function; a problem that found partial answers in some works by Severi and {\L}ojasiewicz.
1995
Decidabilit\'e finie, comportement extremale locale, fonction analytique r\'eelle
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/393332
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