Trace Paley-Wiener theorem in the twisted case

Rogawski, J. D.

doi:10.1090/S0002-9947-1988-0957068-2

Trace Paley-Wiener theorem in the twisted case
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by J. D. Rogawski

Trans. Amer. Math. Soc. 309 (1988), 215-229

DOI: https://doi.org/10.1090/S0002-9947-1988-0957068-2

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Abstract:

A version of the trace Paley-Wiener theorem for a reductive $p$-adic group in the context of twisted harmonic analysis with respect to an outer automorphism is proved.

References

Base change for

J. N. Bernstein, Le “centre” de Bernstein, Representations of reductive groups over a local field, Travaux en Cours, Hermann, Paris, 1984, pp. 1–32 (French). Edited by P. Deligne. MR 771671
J. Bernstein, P. Deligne, and D. Kazhdan, Trace Paley-Wiener theorem for reductive $p$-adic groups, J. Analyse Math. 47 (1986), 180–192. MR 874050, DOI 10.1007/BF02792538
I. N. Bernstein and A. V. Zelevinsky, Induced representations of reductive ${\mathfrak {p}}$-adic groups. I, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 4, 441–472. MR 579172
Armand Borel and Nolan R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Mathematics Studies, No. 94, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 554917
W. Casselman, Characters and Jacquet modules, Math. Ann. 230 (1977), no. 2, 101–105. MR 492083, DOI 10.1007/BF01370657

Characters of non-connected reductive

adic groups

Laurent Clozel, Sur une conjecture de Howe. I, Compositio Math. 56 (1985), no. 1, 87–110 (English, with French summary). MR 806844
Jonathan D. Rogawski, Automorphic representations of unitary groups in three variables, Annals of Mathematics Studies, vol. 123, Princeton University Press, Princeton, NJ, 1990. MR 1081540, DOI 10.1515/9781400882441
Jonathan D. Rogawski, Representations of $\textrm {GL}(n)$ and division algebras over a $p$-adic field, Duke Math. J. 50 (1983), no. 1, 161–196. MR 700135