Quantization and non-holomorphic modular forms
by 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).
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Includes bibliographical references (p. 251-253) and indexes.
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- Created September 30, 2008
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| April 30, 2025 | Edited by MARC Bot | import existing book |
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| September 30, 2008 | Created by ImportBot | Imported from Oregon Libraries MARC record |