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

Unterberger, Andre

 
9783540678618: Quantization and Non-holomorphic Modular Forms: 1742 (Lecture Notes in Mathematics)
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).

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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).

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540678611
ISBN 13 
9783540678618
Einband
Tapa blanda
Anzahl der Seiten
268
Kontakt zum Hersteller
Nicht verfügbar
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