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Quantization and Non-holomorphic Modular Forms

Language EnglishEnglish
Book Paperback
Book Quantization and Non-holomorphic Modular Forms André Unterberger
Libristo code: 01567545
Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, August 2000
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantizat... Full description
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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).

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About the book

Full name Quantization and Non-holomorphic Modular Forms
Author André Unterberger
Language English
Binding Book - Paperback
Date of issue 2000
Number of pages 258
EAN 9783540678618
ISBN 3540678611
Libristo code 01567545
Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Weight 840
Dimensions 155 x 235 x 15

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Integral calculus & equations
Mathematics & Science > Mathematics > Number theory
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