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Beschreibung
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).
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 28. August 2000 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 408 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540678618 |
| Seiten | 258 |
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