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Comptes Rendus Mathématique
Volume 353, n° 3
pages 215-218 (mars 2015)
Doi : 10.1016/j.crma.2014.12.004
Received : 29 October 2014 ;  accepted : 19 December 2014
Complementability of exponential systems
Complémentabilité des systèmes d'exponentielles
 

Yurii Belov
 Chebyshev Laboratory, St. Petersburg State University, 14th Line 29B, Vasilyevsky Island, St. Petersburg 199178, Russia 

Abstract

We prove that any incomplete systems of complex exponentials   in   is a subset of some complete and minimal system of exponentials. In addition, we prove an analogous statement for systems of reproducing kernels in de Branges spaces.

The full text of this article is available in PDF format.
Résumé

Nous démontrons que tout système incomplet d'exponentielles complexes   dans   est un sous-ensemble d'un système complet et minimal d'exponentielles. De plus, nous montrons un résultat analogue pour des systèmes de noyaux reproduisants dans les espaces de de Branges.

The full text of this article is available in PDF format.

 Author was supported by RNF grant 14-21-00035.



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