Quantization and Non-holomorphic Modular Forms

By:

Andre Unterberger

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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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).

Release date NZ

August 28th, 2000

Author

Andre Unterberger

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

x, 258 p.

Pages

258

Series

Lecture Notes in Mathematics

Dimensions

156x234x14

ISBN-13

9783540678618

Product ID

2495317

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