{
"item_title" : "Quantization and Non-Holomorphic Modular Forms",
"item_author" : [" André Unterberger "],
"item_description" : "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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Quantization and Non-Holomorphic Modular Forms
Overview
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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Details
- ISBN-13: 9783540678618
- ISBN-10: 3540678611
- Publisher: Springer
- Publish Date: August 2000
- Dimensions: 9.21 x 6.14 x 0.56 inches
- Shipping Weight: 0.84 pounds
- Page Count: 258
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