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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume
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by Anilatmaja Aryasomayajula and Priyanka Majumder PDF
Proc. Amer. Math. Soc. 146 (2018), 4009-4020 Request permission

Abstract:

In this article, we derive off-diagonal estimates of the Bergman kernel associated to tensor-powers of the cotangent line bundle defined over a hyperbolic Riemann surface of finite volume.
References
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Additional Information
  • Anilatmaja Aryasomayajula
  • Affiliation: Department of Mathematics, Indian Institute of Science Education and Research Tirupati, Karkambadi Road, Mangalam (B.O), Tirupati-517507, India
  • MR Author ID: 1081339
  • Email: anil.arya@iisertirupati.ac.in
  • Priyanka Majumder
  • Affiliation: Department of Mathematics, Indian Institute of Science Education and Research Tirupati, Karkambadi Road, Mangalam (B.O), Tirupati-517507, India
  • Email: pmpriyanka57@gmail.com
  • Received by editor(s): April 11, 2017
  • Received by editor(s) in revised form: October 24, 2017, November 22, 2017, December 12, 2017, and December 21, 2017
  • Published electronically: June 13, 2018
  • Communicated by: Guofang Wei
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 4009-4020
  • MSC (2010): Primary 32A25, 30F30, 30F35
  • DOI: https://doi.org/10.1090/proc/14064
  • MathSciNet review: 3825853