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...
में बचाया:
| मुख्य लेखक: | |
|---|---|
| स्वरूप: | डेटाबेस |
| भाषा: | English |
| प्रकाशित: |
Berlin
Springer
2000.
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| श्रृंखला: | Lecture notes in mathematics (Springer-Verlag) ;
1742. |
| विषय: | |
| टैग : |
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| 100 | 1 | |a Unterberger, Andre. |e author | |
| 245 | 1 | 0 | |a Quantization and non-holomorphic modular forms / |c Andre Unterberger. |
| 264 | 0 | |a New York |b Springer |c 2000 | |
| 264 | 1 | |a Berlin |b Springer |c 2000. | |
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1742 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 520 | |a 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). | ||
| 650 | 0 | |a Geometric quantization. | |
| 650 | 0 | |a Forms, Modular. | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1742. | |
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