Hecke theory for
H. Jacquet, J. A. Shalika (1974)
Compositio Mathematica
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H. Jacquet, J. A. Shalika (1974)
Compositio Mathematica
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Hiroshi Saito (1993)
Compositio Mathematica
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J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Joachim Hilgert (1989)
Annales de l'institut Fourier
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
Marques de Sá, Eduardo (1989)
Portugaliae mathematica
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Stephen Gelbart, Hervé Jacquet (1978)
Annales scientifiques de l'École Normale Supérieure
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Hervé Jacquet (2012)
Annales de l’institut Fourier
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Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.