Siegel modular forms and theta series attached to quaternion algebras

The two main problems in the theory of the theta correspondence or lifting (between automorphic forms on some adelic orthogonal group and on some adelic symplectic or metaplectic group) are the characterization of kernel and image of this correspondence. Both problems tend to be particularly difficu...

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Bibliographic Details
Published in:Nagoya mathematical journal 1991-03, Vol.121, p.35-96
Main Authors: Böcherer, Siegfried, Schulze-Pillot, Rainer
Format: Article
Language:English
Subjects:
11F27
11F41
11F55
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Summary:The two main problems in the theory of the theta correspondence or lifting (between automorphic forms on some adelic orthogonal group and on some adelic symplectic or metaplectic group) are the characterization of kernel and image of this correspondence. Both problems tend to be particularly difficult if the two groups are approximately the same size.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000003391