书目名称 | Quantization and Non-holomorphic Modular Forms |
编辑 | André Unterberger |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
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 |
关键词 | 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 |