| Quantization and Non-Holomorphic Modular Forms 2000 Edition Contributor(s): Unterberger, André (Author) |
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ISBN: 3540678611 ISBN-13: 9783540678618 Publisher: Springer OUR PRICE: $49.40 Product Type: Paperback Published: August 2000 Annotation: 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). |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Medical |
| Dewey: 512.73 |
| LCCN: 00059560 |
| Series: Springer Tracts in Modern Physics (Paperback) |
| Physical Information: 0.56" H x 6.14" W x 9.21" (0.84 lbs) 258 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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) |