Quantization and Non-holomorphic Modular Forms PDF
by Andre Unterberger
Part of the Lecture Notes in Mathematics series
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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).
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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/05/2007
- Category:
- ISBN:9783540446606
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/05/2007
- Category:
- ISBN:9783540446606
