[Mesures de comptage harmonique et théorie spectrale des espaces lenticulaires]
Dans cette Note, on associe à tout réseau une mesure de comptage harmonique sur la sphère . On l'utilise pour déterminer le comportement asymptotique du cardinal d'un ensemble de fonctions propres indépendantes de l'opérateur de Laplace–Beltrami sur un espace lenticulaire L, correspondant aux éléments du réseau T de L appartenant à un cône.
In this article, associated with each lattice , the concept of a harmonic-counting measure on a sphere is introduced and is applied to determine the asymptotic behavior of the cardinality of the set of independent eigenfunctions of the Laplace–Beltrami operator on a lens space L corresponding to the elements of the associated lattice T of L lying in a cone.
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@article{CRMATH_2016__354_12_1145_0,
author = {Mohades, Hossein and Honari, Bijan},
title = {Harmonic-counting measures and spectral theory of lens spaces},
journal = {Comptes Rendus. Math\'ematique},
pages = {1145--1150},
publisher = {Elsevier},
volume = {354},
number = {12},
year = {2016},
doi = {10.1016/j.crma.2016.10.016},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.10.016/}
}
TY - JOUR AU - Mohades, Hossein AU - Honari, Bijan TI - Harmonic-counting measures and spectral theory of lens spaces JO - Comptes Rendus. Mathématique PY - 2016 SP - 1145 EP - 1150 VL - 354 IS - 12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.10.016/ DO - 10.1016/j.crma.2016.10.016 LA - en ID - CRMATH_2016__354_12_1145_0 ER -
%0 Journal Article %A Mohades, Hossein %A Honari, Bijan %T Harmonic-counting measures and spectral theory of lens spaces %J Comptes Rendus. Mathématique %D 2016 %P 1145-1150 %V 354 %N 12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.10.016/ %R 10.1016/j.crma.2016.10.016 %G en %F CRMATH_2016__354_12_1145_0
Mohades, Hossein; Honari, Bijan. Harmonic-counting measures and spectral theory of lens spaces. Comptes Rendus. Mathématique, Tome 354 (2016) no. 12, pp. 1145-1150. doi : 10.1016/j.crma.2016.10.016. http://www.numdam.org/articles/10.1016/j.crma.2016.10.016/
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