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Hilbert Modular Pseudodifferential Operators

Min Ho Lee
Proceedings of the American Mathematical Society
Vol. 129, No. 11 (Nov., 2001), pp. 3151-3160
Stable URL: http://www.jstor.org/stable/2668855
Page Count: 10
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Hilbert Modular Pseudodifferential Operators
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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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