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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Spectra in representations of semisimple Lie group


Author: Sidney C. Scull
Journal: Proc. Amer. Math. Soc. 41 (1973), 287-293
MSC: Primary 22E45
DOI: https://doi.org/10.1090/S0002-9939-1973-0376967-0
MathSciNet review: 0376967
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Abstract: The spectrum of the infinitesimal generator of a one-parameter group of unitary operators arising from a representation of a semisimple Lie group is determined. The support of the spectral measure depends only on whether the group is a group of automorphisms of a bounded symmetric domain.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0376967-0
Keywords: Unitary representation, spectral measure, semisimple Lie group
Article copyright: © Copyright 1973 American Mathematical Society