Quantization and Non-holomorphic Modular Forms von André Unterberger | ISBN 9783540446606

Quantization and Non-holomorphic Modular Forms

von André Unterberger
Buchcover Quantization and Non-holomorphic Modular Forms | André Unterberger | EAN 9783540446606 | ISBN 3-540-44660-5 | ISBN 978-3-540-44660-6

Quantization and Non-holomorphic Modular Forms

von André Unterberger
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).