[Trou spectral dans ]
On démontre que si sont des éléments algébriques de et le groupe engendré par est dense, alors l'opérateur de Hecke défini par ces éléments a un trou spectral.
It is shown that if are algebraic elements in generating a dense subgroup, then the corresponding Hecke operator has a spectral gap.
Accepté le :
Publié le :
Jean Bourgain 1 ; Alexander Gamburd 2
@article{CRMATH_2010__348_11-12_609_0, author = {Jean Bourgain and Alexander Gamburd}, title = {Spectral gaps in $ \mathit{SU}(d)$}, journal = {Comptes Rendus. Math\'ematique}, pages = {609--611}, publisher = {Elsevier}, volume = {348}, number = {11-12}, year = {2010}, doi = {10.1016/j.crma.2010.04.024}, language = {en}, }
Jean Bourgain; Alexander Gamburd. Spectral gaps in $ \mathit{SU}(d)$. Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 609-611. doi : 10.1016/j.crma.2010.04.024. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.04.024/
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