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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| Main Author: | |
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| Format: | Database |
| Language: | English |
| Published: |
Berlin
Springer
2000.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1742. |
| Subjects: | |
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| Summary: | 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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| Physical Description: | 1 CD-ROM 12 cm |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 9783540446606 (electronic bk.) 3540446605 (electronic bk.) |
| ISSN: | 0075-8434 ; |