Quantization and Non-holomorphic Modular Forms - André Unterberger
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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 quantizatio ... Täielik kirjeldus
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Kirjeldus
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).
Lisateave
| Autor | André Unterberger |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Väljalaskeaasta | 2000 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783540678618 |