Quantization and Non-holomorphic Modular Forms

von André Unterberger

258 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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).

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540678618
• Sprache: Englisch
• Erscheinungsdatum: 28.08.2000
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin