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Quantization and Non-Holomorphic Modular Forms

Quantization and Non-Holomorphic Modular Forms

Paperback

Series: Lecture Notes in Mathematics, Book 1742

Medical ReferenceGeneral Mathematics

ISBN10: 3540678611
ISBN13: 9783540678618
Publisher: Springer
Published: Aug 28 2000
Pages: 258
Weight: 0.84
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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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