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On Shimura’s correspondence for modular forms of half-integral weight. (English) Zbl 0495.10020
Automorphic forms, representation theory and arithmetic, Pap. Colloq., Bombay 1979, 1-39 (1981).

11F70 Representation-theoretic methods; automorphic representations over local and global fields
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
11R39 Langlands-Weil conjectures, nonabelian class field theory
11F11 Holomorphic modular forms of integral weight