Quantization and Non-holomorphic Modular Forms
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Beschreibung
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).
Autor*in
André Unterberger
Themen in »Quantization and Non-holomorphic Modular Forms«
Boundary value problem Kloosterman series Lax-Phillips theory Non-holomorphic modular forms Rankin-Cohen products automorphic distributions scattering theory wave equation