Comptes Rendus
no. 3-4
Mathematical Analysis
Sharp constants in the Paneyah–Logvinenko–Sereda theorem

Presented by: 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.

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

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.

Received:
Accepted:
Published online:
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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