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THE SPECTRA OF THE SPHERICAL AND EUCLIDEAN TRIANGLE GROUPS

Part of: Algebraic groups General theory of linear operators Representation theory of groups

Published online by Cambridge University Press:  01 April 2007

MARK HARMER
MARK HARMER*
Affiliation:
Department of Mathematics, Australian National University, Canberra, Australia (email: harmer.mark@gmail.com)
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Abstract

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We derive the spectrum of the Laplace–Beltrami operator on the quotient orbifold of the nonhyperbolic triangle groups.

Keywords

triangle groupsspectral multiplicity

MSC classification

Secondary: 14L35: Classical groups (geometric aspects) 47A75: Eigenvalue problems 20C99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 2 , April 2008 , pp. 217 - 227
Copyright
Copyright © 2007 Australian Mathematical Society

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