書目名稱 | Quantization and Non-holomorphic Modular Forms | 編輯 | André Unterberger | 視頻video | http://file.papertrans.cn/782/781025/781025.mp4 | 叢書名稱 | Lecture Notes in Mathematics | 圖書封面 |  | 描述 | 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). | 出版日期 | Book 2000 | 關(guān)鍵詞 | Boundary value problem; Kloosterman series; Lax-Phillips theory; Non-holomorphic modular forms; Rankin-C | 版次 | 1 | doi | https://doi.org/10.1007/BFb0104036 | isbn_softcover | 978-3-540-67861-8 | isbn_ebook | 978-3-540-44660-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2000 |
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