Résumé
Nous donnons la preuve d'une généralisation d'un résultat récent de S. Zelditch concernant la répartition asymptotique des fonctions propres du laplacien sur une variété compacte dont le flot géodésique est ergodique.
Abstract
Here we give the proof of some generalization of a recent result by S. Zelditch. It has to do with the asymptotic behaviour of Laplacian's eigenfunctions on a compact manifold whose geodesic flow is ergodic.
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Bibliographie
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Communicated by B. Simon
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Colin de Verdiere, Y. Ergodicité et fonctions propres du laplacien. Commun.Math. Phys. 102, 497–502 (1985). https://doi.org/10.1007/BF01209296
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DOI: https://doi.org/10.1007/BF01209296