Comptes Rendus
no. 3-4
Mathematical Analysis
Sharp constants in the Paneyah–Logvinenko–Sereda theorem
[Sur les constantes optimales dans le théorème de Paneyah–Logvinenko–Sereda]

Présenté par : Gilles Pisier

Alexander Reznikov1
1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Comptes Rendus. Mathématique, Volume 348 (2010) no. 3-4, pp. 141-144.

On trouve la norme de l'opérateur inverse de l'opérateur de restriction pour deux types d'ensembles dans la classe des fonctions de Paley–Wiener.

We shall find some sharp constants in one type of uncertainty principle — Paneyah–Logvinenko–Sereda theorem.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.10.029

Alexander Reznikov 1

1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA 
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Alexander Reznikov. Sharp constants in the Paneyah–Logvinenko–Sereda theorem. Comptes Rendus. Mathématique, Volume 348 (2010) no. 3-4, pp. 141-144. doi : 10.1016/j.crma.2009.10.029. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.029/

[1] V. Havin; B. Jöricke The Uncertainty Principle in Harmonic Analysis, Springer-Verlag, 1994

[2] T. Kato Perturbation Theory for Linear Operators, Springer, 1995

[3] I. Komarov; L. Ponomaryov; S. Slavyanov Spheroid and Coulons Spheroid Functions, Nauka, 1976 (in Russian)

[4] A.L. Volberg Thin and thick families of rational fractions, Complex Analysis and Spectral Theory, Lecture Notes in Math., vol. 864, 1981, pp. 440-480

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