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
Reznikov, Alexander1
1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Comptes Rendus. Mathématique, Tome 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.

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

Reznikov, Alexander 1

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

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

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

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

[4] Volberg, A.L. 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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