Quantization and non-holomorphic modular forms

Autor*innen

• Andre Unterberger

Parameter

• 253 Seiten
• 9 Lesestunden

• Mathematik

Mehr zum Buch

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).

• Sprache: Englisch
• Erscheinungsdatum: 2000
• Einband: Paperback