书目名称 | Pseudodifferential Operators with Automorphic Symbols |
编辑 | André Unterberger |
视频video | |
概述 | Features a complete study of pseudodifferential operators with automorphic symbols.Covers a complete analysis of link between modular distributions (in the plane) and non-holomorphic modular forms in |
丛书名称 | Pseudo-Differential Operators |
图书封面 |  |
描述 | The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts. |
出版日期 | Book 2015 |
关键词 | Weil calculus; automorphic distributions; holomorphic modular forms; microlocal analysis; modular distri |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-18657-3 |
isbn_softcover | 978-3-319-18656-6 |
isbn_ebook | 978-3-319-18657-3Series ISSN 2297-0355 Series E-ISSN 2297-0363 |
issn_series | 2297-0355 |
copyright | Springer International Publishing Switzerland 2015 |