On the genericity of cuspidal automorphic forms of SO2n+1

DOI10.1515/CRELLE.2007.023zbMath1139.11027MaRDI QIDQ3445253

David Soudry, Di-Hua Jiang

Publication date: 8 June 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Bessel modelsn)\)generic representations of \(\text{SO}(n+1Theta lifting

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

Poles ofL-functions and theta liftings for orthogonal groups ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ Symplectic supercuspidal representations and related problems ⋮ On the residue method for period integrals

Cites Work

• Unnamed Item
• Unnamed Item
• On the Saito-Kurokawa lifting
• On the local theta-correspondence
• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• On the degree 5 \(L\)-function for \(Sp(2)\)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On Fourier coefficients of automorphic forms of symplectic groups
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Rational conjugacy classes in reductive groups
• On lifting from classical groups to \(\text{GL}_N\)
• On the nonvanishing of the central value of the Rankin-Selberg 𝐿-functions
• Front d'onde des representations des groupes classiques p -adiques

This page was built for publication: On the genericity of cuspidal automorphic forms of SO2n+1