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.
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.
@article{CRMATH_2015__353_3_215_0, author = {Yurii Belov}, title = {Complementability of exponential systems}, journal = {Comptes Rendus. Math\'ematique}, pages = {215--218}, publisher = {Elsevier}, volume = {353}, number = {3}, year = {2015}, doi = {10.1016/j.crma.2014.12.004}, language = {en}, }
Yurii Belov. Complementability of exponential systems. Comptes Rendus. Mathématique, Volume 353 (2015) no. 3, pp. 215-218. doi : 10.1016/j.crma.2014.12.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.12.004/
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☆ Author was supported by RNF grant 14-21-00035.
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