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Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
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This article is published in American Journal of Mathematics.The article was published on 1984-02-01. It has received 214 citations till now. The article focuses on the topics: Plancherel theorem & Fourier transform.read more
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A proof of Langland’s conjecture on Plancherel measures; Complementary series of $p$-adic groups
TL;DR: Theorem 7.9 as discussed by the authors proves a conjecture of Langlands on normalization of intertwining operators by means of local Langlands root numbers and L-functions, at least when the group is quasi-split and inducing representation is generic.
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Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique
TL;DR: In this article, a proof of the Langlands conjectures for a finite extension of the Weil group of F is given, which is more direct than Harris and Taylor's.
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Functorial products for $\mathrm{GL}_2 \times \mathrm{GL}_3$ and the symmetric cube for $\mathrm{GL}_2$
Henry H. Kim,Freydoon Shahidi +1 more
Surveys in differential geometry
TL;DR: In this article, the authors survey the recent progress made on estimating positive eigenvalues of Laplacian on hyperbolic Riemann surfaces in the case of congruence subgroups in connection with the Selberg conjecture, as well as certain related ones.
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Induced representations of reductive ${\mathfrak {p}}$-adic groups. I
I. N. Bernstein,A. V. Zelevinsky +1 more
TL;DR: Gauthier-Villars as mentioned in this paper implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).
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