Quantization and Non-holomorphic Modular Forms
André Unterberger (auth.)
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).
Catégories:
Année:
2000
Edition:
1
Editeur::
Springer Berlin Heidelberg
Langue:
english
ISBN 10:
3540678611
ISBN 13:
9783540678618
Collection:
Lecture Notes in Mathematics 1742
Fichier:
DJVU, 1.13 MB
IPFS:
,
english, 2000
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