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Quantization and Non-holomorphic Modular Forms (Lecture Notes in Mathematics, 1742, Band 1742) - Softcover

Unterberger, Andre

 
9783540678618: Quantization and Non-holomorphic Modular Forms (Lecture Notes in Mathematics, 1742, Band 1742)
Softcover
ISBN 10: 3540678611 ISBN 13: 9783540678618
Verlag: Springer, 2008

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540678611
ISBN 13 
9783540678618
Einband
Taschenbuch
Anzahl der Seiten
268
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