On the asymptotic distribution of the spectrum of an operator over irreducible representations of its symmetry group |
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| Authors: | V. N. Karpushkin |
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| Affiliation: | (1) Institute for Problems of Information Transmission, Russian Academy of Sciences, Russia |
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| Abstract: | 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. |
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| Keywords: | finite group elliptic operator regular representation group action |
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