Lecture Notes in Mathematics

Unterberger, André

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).

Details

Published by: Springer

Publication Date: 2000-08-28

Format: Paperback

ISBN-13: 9783540678618

DOI: 10.1007/BFb0104036

Dimensions: 235cm x155cm

Pages: 258