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Spectral decomposition of the Poincaré summation process

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Part of the Pseudo-Differential Operators book series (PDO, volume 8)

Abstract

One of the advantages of using automorphic distribution theory, as opposed to automorphic function theory, is that one can dispense with the spectral theory of the modular Laplacian, substituting for it the simpler spectral theory of the automorphic Euler operator and avoiding the use of special functions.

Keywords

Bilinear Form Spectral Decomposition Arbitrary Power Symmetric Type Summation Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2011

Authors and Affiliations

  1. 1.Mathématiques U.F.R. des SciencesUniversité de ReimsReims Cedex 2France

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