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Automorphic pseudodifferential operators, Poincaré series and Eisenstein series
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1999