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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the boundedness of $ p$-integrable automorphic forms


Author: K. V. Rajeswara Rao
Journal: Proc. Amer. Math. Soc. 44 (1974), 278-282
MSC: Primary 30A58
MathSciNet review: 0342693
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Abstract: For a Fuchsian group, a criterion is obtained in order that every $ p$-integrable automorphic form be bounded. This encompasses the known results for $ p = 1$. The condition implies an interesting inequality between the Bergman kernel and the Poincaré line element of a Riemann surface.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0342693-8
PII: S 0002-9939(1974)0342693-8
Keywords: Fuchsian group, factors of automorphy, automorphic forms, $ p$-integrable, bounded, Bergman kernel, Poincaré metric, Kleinian group
Article copyright: © Copyright 1974 American Mathematical Society