A trace formula for dual pairs

DOI10.1215/S0012-7094-97-08712-3zbMath0923.11082OpenAlexW2063853557MaRDI QIDQ1359252

Zhengyu Mao, Stephen Rallis

Publication date: 12 October 1999

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08712-3

zbMATH Keywords

exponential sumsautomorphic formsrelative trace formulaorbital integralstheta correspondencedual pair

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (2)

Exponential sums for \(GL(n)\) and their applications to base change ⋮ On a cubic lifting

Cites Work

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• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• On the nonvanishing of some \(L\)-functions
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• A trace formula for symmetric spaces
• On the automorphic theta representation for simply laced groups
• The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension
• On a cubic lifting
• Sur certains groupes d'opérateurs unitaires
• Cubic correspondences arising from G 2
• An analogue of the Weil representation for G2.
• Minimal representations of exceptional 𝑝-adic groups

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