Bessel functionals and Siegel modular forms (Q1909861)

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scientific article; zbMATH DE number 858011
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Bessel functionals and Siegel modular forms
scientific article; zbMATH DE number 858011

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    Bessel functionals and Siegel modular forms (English)
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    24 March 1996
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    So-called Bessel models were studied for holomorphic Siegel modular forms of degree 2 as a replacement for Whittaker models. If an automorphic form for the adelic symplectic group possesses such a Bessel model of a special type, it was demonstrated that it can be related to a generic form, which has a Whittaker model. In the paper under review, the author shows that this procedure is not always successful. He constructs Siegel modular forms of degree and weight 2 which do not have a Bessel model of special type.
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    Bessel functionals
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    Siegel modular forms
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    Bessel model
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    Whittaker model
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