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Automorphic pseudodifferential operators, Poincaré series and Eisenstein series

Published online by Cambridge University Press:  17 April 2009

Min Ho Lee
Min Ho Lee
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, United States of America e-mail: lee@math.uni.edu
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Abstract

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We construct Poincaré series and Eisenstein series for automorphic pseudodifferential operators, and show that the space of automorphic pseudodifferential operators associated to cusp forms is generated by Poincaré series. We also obtain explicit formulas for such Poincaré series and Eisenstein series.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 45 - 52
Copyright
Copyright © Australian Mathematical Society 1999

References

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