On Limit Multiplicities for Spaces of Automorphic Forms
1999 ◽
Vol 51
(5)
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pp. 952-976
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Keyword(s):
Rank One
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AbstractLet Γ be a rank-one arithmetic subgroup of a semisimple Lie group G. For fixed K-Type, the spectral side of the Selberg trace formula defines a distribution on the space of infinitesimal characters of G, whose discrete part encodes the dimensions of the spaces of square-integrable Γ-automorphic forms. It is shown that this distribution converges to the Plancherel measure of G when Γ shrinks to the trivial group in a certain restricted way. The analogous assertion for cocompact lattices Γ follows from results of DeGeorge-Wallach and Delorme.
1959 ◽
Vol 45
(4)
◽
pp. 570-573
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2004 ◽
Vol 113
(1)
◽
pp. 107-124
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1994 ◽
Vol 124
(5)
◽
pp. 1037-1044
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1974 ◽
Vol 4
(1)
◽
pp. 133-209
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Keyword(s):
1953 ◽
Vol 75
(2)
◽
pp. 185-185
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1965 ◽
Vol 119
(3)
◽
pp. 457-457
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