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The L2 restriction norm of a GL3 Maass form

Part of:Spectral theory and eigenvalue problemsDiscontinuous groups and automorphic formsZeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  20 March 2012

Xiaoqing Li and
Matthew P. Young
Xiaoqing Li
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14260, USA (email: XL29@buffalo.edu)
Matthew P. Young
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA (email: myoung@math.tamu.edu)
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Abstract

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We prove a sharp upper bound on the L2 norm of a GL3 Maass form restricted to GL2×ℝ+.

Keywords

Maass formrestriction normautomorphic formGL3

MSC classification

Secondary:11F55: Other groups and their modular and automorphic forms (several variables)11F72: Spectral theory; Selberg trace formula11M41: Other Dirichlet series and zeta functions35P20: Asymptotic distribution of eigenvalues and eigenfunctions

Information

Type
Research Article
Information
Compositio Mathematica , Volume 148 , Issue 3 , May 2012, pp. 675 - 717
Copyright
Copyright © Foundation Compositio Mathematica 2012

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