The integral kernel in the Kuznetsov type sum formula for SU\((n+1,1)\).

DOI10.1016/S0019-3577(01)80007-0zbMath1039.11032MaRDI QIDQ5947108

N. P. Kisbye

Publication date: 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Kuznetsov sum formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Analysis on other specific Lie groups (43A80)

Cites Work

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• Automorphic forms constructed from Whittaker vectors
• Kuznetsov formulas for real rank one groups
• Whittaker vectors and conical vectors
• Estimates of Kloosterman sums for groups of real rank one
• ON M_x-invariants in S(_n) and U(_n)

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