Complex analysis
Complementability of exponential systems
[Complémentabilité des systèmes d'exponentielles]

Présenté par : Gilles Pisier

Belov, Yurii1
1 Chebyshev Laboratory, St. Petersburg State University, 14th Line 29B, Vasilyevsky Island, St. Petersburg 199178, Russia
Comptes Rendus. Mathématique, Tome 353 (2015) no. 3, pp. 215-218.

Nous démontrons que tout système incomplet d'exponentielles complexes {eiλnt} dans L2(−π,π) 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.

We prove that any incomplete systems of complex exponentials {eiλnt} in L2(−π,π) 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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.12.004
Belov, Yurii 1

1 Chebyshev Laboratory, St. Petersburg State University, 14th Line 29B, Vasilyevsky Island, St. Petersburg 199178, Russia 
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Belov, Yurii. Complementability of exponential systems. Comptes Rendus. Mathématique, Tome 353 (2015) no. 3, pp. 215-218. doi : 10.1016/j.crma.2014.12.004. http://www.numdam.org/articles/10.1016/j.crma.2014.12.004/

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