Wave front sets of reductive Lie group representations II

Wave front sets of reductive Lie group representations II

In this paper it is shown that the wave front set of a direct integral of singular, irreducible representations of a real, reductive algebraic group is contained in the singular set. Combining this result with the results of the first paper in this series, the author obtains asymptotic results on th...

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Veröffentlicht in:Transactions of the American Mathematical Society 2018-08, Vol.370 (8), p.5931-5962
1. Verfasser: HARRIS, BENJAMIN
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description In this paper it is shown that the wave front set of a direct integral of singular, irreducible representations of a real, reductive algebraic group is contained in the singular set. Combining this result with the results of the first paper in this series, the author obtains asymptotic results on the occurrence of tempered representations in induction and restriction problems for real, reductive algebraic groups.
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title Wave front sets of reductive Lie group representations II
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