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).
| ISBN: | 9783540678618 |
| Publication date: | 28th August 2000 |
| Author: | André Unterberger |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 253 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Number theory |
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).
Quantization and Non-Holomorphic Modular Forms features in the following genres: Number theory
Quantization and Non-Holomorphic Modular Forms is available in Paperback
Quantization and Non-Holomorphic Modular Forms was written by André Unterberger and published by Springer an imprint of Springer Berlin Heidelberg
Quantization and Non-Holomorphic Modular Forms has 253 pages
Yes it is part of Lecture Notes in Mathematics series