Quantization and non-holomorphic modular forms
By: André Unterberger.
Series: Lecture notes in mathematics -- 1742.; Lecture notes in mathematics (Springer-Verlag) -- 1742.
Publisher: Springer
Published: 2000
Place of publication: New York
Language: eng
Number of pages: 253
Subjects: Geometric quantization; Forms, Modular
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).
Notes: Includes bibliographical references (p. 251-253) and indexes.