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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2000.
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| Edition: | 1st ed. 2000. |
| Series: | Lecture Notes in Mathematics,
1742 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| 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: | X, 258 p. online resource. |
| ISBN: | 9783540446606 |
| ISSN: | 0075-8434 ; |
| DOI: | 10.1007/BFb0104036 |
