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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 3, Pages 72–75
DOI: https://doi.org/10.4213/faa746 (Mi faa746) 		 
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On the Asymptotic Distribution of the Spectrum of an Operator over Irreducible Representations of Its Symmetry Group

V. N. Karpushkin

Institute for Information Transmission Problems, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/faa746
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.
Keywords: finite group, elliptic operator, regular representation, group action.
Received: 16.02.2005
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 3, Pages 225–227
DOI: https://doi.org/10.1007/s10688-006-0035-y
Bibliographic databases:
Document Type: Article
UDC: 517.914
Language: Russian
Citation: V. N. Karpushkin, “On the Asymptotic Distribution of the Spectrum of an Operator over Irreducible Representations of Its Symmetry Group”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 72–75; Funct. Anal. Appl., 40:3 (2006), 225–227
Citation in format AMSBIB
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