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).
| Autorius: | André Unterberger |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2000 |
| Knygos puslapių skaičius: | 268 |
| ISBN-10: | 3540678611 |
| ISBN-13: | 9783540678618 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Number theory |
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