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.
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