Factorization of period integrals.

DOI10.1006/jnth.2000.2584zbMath1040.11035OpenAlexW1982685283MaRDI QIDQ5931958

Hervé Jacquet

Publication date: 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2584

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

A criterion for integrability of matrix coefficients with respect to a symmetric space ⋮ Distinction by the quasi-split unitary group ⋮ Spherical varieties, functoriality, and quantization ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices ⋮ On the distinguished spectrum of \(\mathrm{Sp}_{2n}\) with respect to \(\mathrm{Sp}_n \times \mathrm{Sp}_n\) ⋮ On representations distinguished by unitary groups ⋮ Local unitary periods and relative discrete series ⋮ Periods and global invariants of automorphic representations ⋮ Supercuspidal representations of $\mathrm{GL}_{n}(F)$ distinguished by a unitary involution

Cites Work

• The multiplicity one theorem for \(\mathrm{GL}_n\)
• An integral transform and its applications
• A proof of Kirillov's conjecture
• Stabilization of periods of Eisenstein series and Bessel distributions on \(GL(3)\) relative to \(U(3)\)
• A theorem of density for Kloosterman integrals
• The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension
• Distinguished p-adic representations
• Le spectre résiduel de ${\rm GL}(n)$
• Kloosterman integrals and base change for GL (2).
• Twisted tensors and Euler products
• Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye
• On Euler Products and the Classification of Automorphic Representations I
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Induced representations of reductive ${\germ p}$-adic groups. I
• Periods of automorphic forms
• Germs of Kloosterman Integrals for $GL(3)$
• Le lemme fondamental de Jacquet et Ye en caractéristiques égales
• Distinguished representations and quadratic base change for 𝐺𝐿(3)
• On distinguished representations.
• Invariant Forms for Representations of GL 2 Over a Local Field
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Factorization of period integrals.