Quantization and Non-Holomorphic Modular Forms by A. Unterberger

Quantization and Non-Holomorphic Modular Forms This is an approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis.

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).
Author(s) : A. Unterberger Format : Paperback Book
ISBN-10 : 3540678611 ISBN-13 : 9783540678618
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Product Details:

Series Title : Lecture notes in mathematics

Country Publication : Germany

Publication Date : 01/08/2000

Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Page Length : VIII, 253mm

Page Size : 234mm