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On a correspondence of automorphic forms on orthogonal groups of order five

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Publication:1102386
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zbMath0644.22009MaRDI QIDQ1102386

Ilya I. Piatetski-Shapiro, David Soudry

Publication date: 1987

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

Whittaker modelright translationsspace of automorphic formsautomorphic representations of orthogonal groups for five variablescorrespondence of irreducible automorphic representationsEisenstein series representationquasi split groups over global fields


Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)


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On CAP automorphic representations of a split group of type D4, Bessel functionals and Siegel modular forms, On special Bessel periods and the Gross-Prasad conjecture for \(\mathrm {SO}(2n+1) \times \mathrm {SO}(2)\), Explicit formulas for the Waldspurger and Bessel models, Theta lifting of cusp forms on the unitary group \(U(d, d)\), On Whittaker coefficients of some metaplectic forms, Special representations of rank one orthogonal groups, Theta liftings for quasi-split unitary groups



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