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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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Hilbert modular pseudodifferential operators
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by Min Ho Lee
Proc. Amer. Math. Soc. 129 (2001), 3151-3160
DOI: https://doi.org/10.1090/S0002-9939-01-06117-2
Published electronically: April 9, 2001
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Abstract:

We introduce Jacobi-like forms of several variables, and study their connections with Hilbert modular forms and pseudodifferential operators of several variables. We also construct Rankin-Cohen brackets for Hilbert modular forms using such Jacobi-like forms.
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Bibliographic Information
  • Min Ho Lee
  • Affiliation: Department of Mathematics, University of Northern Iowa, Cedar Falls, Iowa 50614
  • Email: lee@math.uni.edu
  • Received by editor(s): March 10, 2000
  • Published electronically: April 9, 2001
  • Communicated by: Dennis A. Hejhal
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 3151-3160
  • MSC (2000): Primary 11F41, 35S05
  • DOI: https://doi.org/10.1090/S0002-9939-01-06117-2
  • MathSciNet review: 1844987