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Quantization and Non-holomorphic Modular Forms by A. Unterberger 9783540678618
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Quantization and Non-holomorphic Modular Forms by A. Unterberger 9783540678618

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Description

This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).

Book Information
ISBN 9783540678618
Author A. Unterberger
Format Paperback
Page Count 258
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Weight(grams) 840g

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