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).
| Author: Andr? Unterberger |
| Publisher: Springer |
| Publication Date: Aug 28, 2000 |
| Number of Pages: 258 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3540678611 |
| ISBN-13: 9783540678618 |
