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.
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Accepté le :
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DOI :
10.1016/j.crma.2009.10.029
Accepté le :
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Affiliations des auteurs :
Reznikov, Alexander 1
@article{CRMATH_2010__348_3-4_141_0, author = {Reznikov, Alexander}, title = {Sharp constants in the {Paneyah{\textendash}Logvinenko{\textendash}Sereda} theorem}, journal = {Comptes Rendus. Math\'ematique}, pages = {141--144}, publisher = {Elsevier}, volume = {348}, number = {3-4}, year = {2010}, doi = {10.1016/j.crma.2009.10.029}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.10.029/} }
TY - JOUR AU - Reznikov, Alexander TI - Sharp constants in the Paneyah–Logvinenko–Sereda theorem JO - Comptes Rendus. Mathématique PY - 2010 SP - 141 EP - 144 VL - 348 IS - 3-4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.10.029/ DO - 10.1016/j.crma.2009.10.029 LA - en ID - CRMATH_2010__348_3-4_141_0 ER -
%0 Journal Article %A Reznikov, Alexander %T Sharp constants in the Paneyah–Logvinenko–Sereda theorem %J Comptes Rendus. Mathématique %D 2010 %P 141-144 %V 348 %N 3-4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.10.029/ %R 10.1016/j.crma.2009.10.029 %G en %F CRMATH_2010__348_3-4_141_0
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. http://archive.numdam.org/articles/10.1016/j.crma.2009.10.029/
[1] The Uncertainty Principle in Harmonic Analysis, Springer-Verlag, 1994
[2] Perturbation Theory for Linear Operators, Springer, 1995
[3] Spheroid and Coulons Spheroid Functions, Nauka, 1976 (in Russian)
[4] 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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