Book Details :
Title : Quantization and Non-holomorphic Modular Forms (Lecture Notes in Mathematics)
Author : André Unterberger
Paperback : 253 pages
Publisher : Springer; 1 edition (October 2, 2000)
Language : English
ISBN-10 : 3540678611
ISBN-13 : 978-3540678618
Size : 5.94 MB.
Type : Djvu.
Upload by : www.boxmaths.com
Book 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).