Quantization and Non-holomorphic Modular Forms - André Unterberger
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Toimitus 12-18 arkipäivässä
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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 ... Täydellinen kuvaus
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Kuvaus
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).
Lisätietoja
| Kirjoittaja | André Unterberger |
|---|---|
| Julkaisija | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Julkaisuvuosi | 2000 |
| Kannen tyyppi | Pehmeäkantinen |
| EAN | 9783540678618 |