Automorphic Forms Constructed from the Weil Representation: Holomorphic Case

DOI10.2307/2373962zbMath0402.10029OpenAlexW1974738945MaRDI QIDQ4186417

Stephen Rallis, Gérard Schiffmann

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/2373962

zbMATH Keywords

Theta SeriesWeil RepresentationAutomorphic FormsAdele RingsCusp FormsLocal Fields

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Values of L-series of modular forms at the center of the critical strip ⋮ An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\) ⋮ A CHARACTERIZATION OF THE MAASS SPACE ON O(2, m + 2) BY SYMMETRIES ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ An elementary introduction to the Langlands program ⋮ Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag. ⋮ A quaternionic Saito-Kurokawa lift and cusp forms on \(G_2\) ⋮ Unitary representations of Gl(n,R) with non-trivial (g,K)-cohomology ⋮ Construction of Cohomology of Discrete Groups ⋮ Modular forms

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