Bounding matrix coefficients for smooth vectors of tempered representations

DOI10.1090/S0002-9939-08-09598-1zbMath1156.22013OpenAlexW2033616155MaRDI QIDQ3600619

Bin Yong Sun

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09598-1

zbMATH Keywords

matrix coefficientstempered representations\(\Xi\)-function

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Refined global Gan-Gross-Prasad conjecture for Bessel periods ⋮ Bessel models for real unitary groups: the tempered case ⋮ On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ) ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ The Whittaker Plancherel theorem ⋮ Automorphic period and the central value of Rankin-Selberg L-function ⋮ Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg Integrals ⋮ Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮ Bounds on smooth matrix coefficients on \(L^{2}\)-spaces ⋮ Theta lifting for tempered representations of real unitary groups

Cites Work

• On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture
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