Quantization and Nonholomorphic Modular Forms (Lecture Notes in Mathematics, 1742),Used

Quantization and Nonholomorphic Modular Forms (Lecture Notes in Mathematics, 1742),Used

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This is a new approach to the theory of nonholomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the RankinSelberg method so as to apply it to the calculation of the RoelckeSelberg decomposition of the product of two Eisenstein series, one lets Maass cuspforms appear as residues of simple, Eisensteinlike, series. Other results, based on quantization theory, include a reinterpretation of the LaxPhillips 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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