Geodesic
On the Asymptotic Distribution of the Spectrum of an Operator over Irreducible Representations of Its Symmetry Group
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 72-75

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We show that a representation of a finite group in the eigenfunction space of an elliptic operator defined on a Riemannian manifold and commuting with the effective action of the group is asymptotically a multiple of the regular representation of the group.
Keywords: finite group, elliptic operator, regular representation
Mots-clés : group action. 
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     author = {V. N. Karpushkin},
     title = {On the {Asymptotic} {Distribution} of the {Spectrum} of an {Operator} over {Irreducible} {Representations} of {Its} {Symmetry} {Group}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {72--75},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a8/}
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V. N. Karpushkin. On the Asymptotic Distribution of the Spectrum of an Operator over Irreducible Representations of Its Symmetry Group. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 72-75. http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a8/