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Amibes de sommes d’exponentielles

Published online by Cambridge University Press:  20 November 2018

James Silipo
James Silipo*
Affiliation:
LaBAG, Institut de Mathématiques, U.F.R. de Mathématiques et Informatique, Université Bordeaux 1, 351 cours de la Libération, 33405, Talence Cedex, France e-mail: silipo@math.u-bordeaux1.fr
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Résumé

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L’objectif de cet article est d’étudier la notion d’amibe au sens de Favorov pour les systèmes finis de sommes d’exponentielles à fréquences réelles et de montrer que, sous des hypothèses de généricité sur les fréquences, le complémentaire de l’amibe d’un système de $(k\,+\,1)$ sommes d’exponentielles à fréquences réelles est un sous-ensemble $k$-convexe au sens d’Henriques.

Keywords

Primaire32A60secondaire42A7555

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 1 , 01 February 2008 , pp. 222 - 240
Copyright
Copyright © Canadian Mathematical Society 2008

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