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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the boundedness of $p$-integrable automorphic forms
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by K. V. Rajeswara Rao
Proc. Amer. Math. Soc. 44 (1974), 278-282
DOI: https://doi.org/10.1090/S0002-9939-1974-0342693-8

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.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 44 (1974), 278-282
  • MSC: Primary 30A58
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0342693-8
  • MathSciNet review: 0342693