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This is an approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis.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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| Author(s) : A. Unterberger | Format : Paperback Book |
| ISBN-10 : 3540678611 | ISBN-13 : 9783540678618 |
| RRP : £30.50 | Best available price : £ / $ |
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Series Title : Lecture notes in mathematics
Country Publication : Germany
Publication Date : 01/08/2000
Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Page Length : VIII, 253mm
Page Size : 234mm