Quantization and non-holomorphic modular forms /

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 le...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Unterberger, Andre (Awdur)
Fformat: Cronfa ddata
Iaith:English
Cyhoeddwyd: Berlin Springer 2000.
Cyfres:Lecture notes in mathematics (Springer-Verlag) ; 1742.
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Crynodeb: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).
Disgrifiad Corfforoll:1 CD-ROM 12 cm
Llyfryddiaeth:Includes bibliographical references and indexes.
ISBN:9783540446606 (electronic bk.)
3540446605 (electronic bk.)
ISSN:0075-8434 ;