Kloosterman integrals for skew symmetric matrices

DOI10.2140/pjm.1992.154.265zbMath0778.11032OpenAlexW1981296712MaRDI QIDQ1204816

Hervé Jacquet, Stephen Rallis

Publication date: 1 April 1993

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.154.265

zbMATH Keywords

skew symmetric matrixrelative trace formulafundamental lemmaKloosterman integralslocal orbital integralsrelative Kuznetsov trace formulastandard Kuznetsov trace formula

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

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A spectral identity between symmetric spaces ⋮ An integral transform and its applications ⋮ Generalized Shalika models of \(p\)-adic SO\(_{4n}\) and functoriality ⋮ Period Integrals of Automorphic Forms and Local Distinction ⋮ On local descent for unitary groups ⋮ Kloosterman identities over a quadratic extension II ⋮ On symplectic periods of the discrete spectrum of \(\mathrm{GL}_{2n}\) ⋮ Local Shalika models and functoriality ⋮ A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\) ⋮ The relative trace formula for groups with involution ⋮ Local uniqueness of generalized Shalika models for \(\mathrm{SO}_{4n}\) ⋮ Residual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group ⋮ The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension ⋮ A trace formula for symmetric spaces

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