Quantization and Non-Holomorphic Modular Forms

By André Unterberger

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).

• Format: Paperback
• Language: English
• ISBN: 3540678611
• ISBN13: 9783540678618
• Release Date: August 2000
• Publisher: Springer
• Length: 258 Pages
• Weight: 0.84 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"