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).
Language English ● Format PDF ● ISBN 9783540446606 ● Publisher Springer Berlin Heidelberg ● Published 2007 ● Downloadable 3 times ● Currency EUR ● ID 6593212 ● Copy protection Adobe DRM
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