Code: 01567545

Quantization and Non-holomorphic Modular Forms

Name: Quantization and Non-holomorphic Modular Forms
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01567545
Price: 41.31 EUR
Availability: InStock
Author: André Unterberger
ISBN: 9783540678618

by André Unterberger

Language: English
Binding: Paperback
Number of pages: 258
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2000
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Book synopsis

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).