The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension

DOI10.1007/BF02808192zbMath0818.11025OpenAlexW2334459661MaRDI QIDQ1804786

Hervé Jacquet

Publication date: 24 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf02808192

zbMATH Keywords

continuous spectrumrelative trace formulaquasi-split unitary groupabsolutely convergent sum of non- cuspidal contributionsArthur's truncation methodintegral of Selberg-type kernelquadratic base change correspondence

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)

Related Items (16)

A trace formula for dual pairs ⋮ Intertwining periods and distinction forp‐adic Galois symmetric pairs ⋮ Periods of Eisenstein series: the Galois case ⋮ Unnamed Item ⋮ On a cubic lifting ⋮ On representations distinguished by unitary groups ⋮ Factorization of period integrals. ⋮ A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\) ⋮ The relative trace formula for groups with involution ⋮ Smooth transfer of Kloosterman integrals ⋮ Smooth transfer of Kloosterman integrals ⋮ Generic representations for the unitary group in three variables ⋮ CUSP FORMS ON GSp(4) WITH SO(4)-PERIODS ⋮ The lifting of an exponential sum to a cyclic algebraic number field of prime degree ⋮ Periods of automorphic forms ⋮ Germs of Kloosterman Integrals for $GL(3)$

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