Local periods for discrete series representations

DOI10.1016/j.jfa.2016.06.002zbMath1353.22010arXiv1509.06166OpenAlexW2964175168MaRDI QIDQ738784

Chong Zhang

Publication date: 16 August 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06166

zbMATH Keywords

symmetric spacesdiscrete serieslocal periodsstrong discreteness

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (6)

An orthogonality relation for spherical characters of supercuspidal representations ⋮ A criterion for integrability of matrix coefficients with respect to a symmetric space ⋮ Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\) ⋮ Distinguished Representations of Reductive p-Adic Groups ⋮ Geometric side of a local relative trace formula ⋮ Top degree Ext-groups and relatively supercuspidal spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A criterion for integrability of matrix coefficients with respect to a symmetric space
• Multiplicity one theorems
• Square integrability of representations on \(p\)-adic symmetric spaces
• Periods of Eisenstein series: the Galois case
• On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture
• An orthogonality relation for spherical characters of supercuspidal representations
• Constant term of functions on a \(p\)-adic reductive symmetric space
• La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
• Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires
• Subrepresentation Theorem for p-adic Symmetric Spaces
• Spherical characters: the supercuspidal case
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Periods and harmonic analysis on spherical varieties
• Une variante d'un r\'esultat de Aizenbud, Gourevitch, Rallis et Schiffmann
• Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group
• Wave packets in the Schwartz space of a reductive p-adic symmetric space
• Polar Decomposition for P-adic Symmetric Spaces

This page was built for publication: Local periods for discrete series representations