Wave front sets of reductive Lie group representations II

Harris, Benjamin

doi:10.1090/tran/7282

Wave front sets of reductive Lie group representations II
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Trans. Amer. Math. Soc. 370 (2018), 5931-5962 Request permission

Abstract:

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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