Complementary series for $p$-adic groups. I
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- by Allan J. Silberger PDF
- Trans. Amer. Math. Soc. 259 (1980), 589-598 Request permission
Abstract:
Let $\Omega$ be a nonarchimedean local field, G the group of $\Omega$-points of a connected reductive algebraic group defined over $\Omega$. This paper establishes that to each zero of the Plancherel measure of G one can associate complementary series. Our result is the analogue for p-adic groups of a similar statement, announced separately by Knapp-Stein and Harish-Chandra, for real groups.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 259 (1980), 589-598
- MSC: Primary 22E50
- DOI: https://doi.org/10.1090/S0002-9947-1980-0567099-5
- MathSciNet review: 567099