Special representations of rank one orthogonal groups

DOI10.1007/BF02882424zbMath0687.10020OpenAlexW2023936705MaRDI QIDQ1262887

Ilya I. Piatetski-Shapiro, David Soudry

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf02882424

zbMATH Keywords

Rankin-Selberg integralsFourier coefficientsinvariance propertiescusp formsliftingstheta correspondencespecial cusp forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\) ⋮ On Base Change for Odd Orthogonal Groups

Cites Work

• Unnamed Item
• Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger
• Singular unitary representations of classical groups
• Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. II: Geometry
• \(L\)-functions and the oscillator representation
• Howe correspondences on a \(p\)-adic field
• On a correspondence of automorphic forms on orthogonal groups of order five
• Asymptotic properties of unitary representations
• Langlands' Functoriality and the Weil Representation
• A new way to get Euler products.
• Explicit Howe duality in the stable range.
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Analytic Continutation of Archimedean Whittaker Integrals

This page was built for publication: Special representations of rank one orthogonal groups