Quantization and Non-holomorphic Modular Forms(Lecture Notes in Mathematics)

数论

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作      者
出  版 社
出版时间
2000年08月28日
装      帧
平装
ISBN
9783540678618
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页      码
258
开      本
语      种
英文
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图书简介
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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