| 书目名称 | Selberg Zeta Functions and Transfer Operators |
| 副标题 | An Experimental Appr |
| 编辑 | Markus Szymon Fraczek |
| 视频video | |
| 概述 | The only book on the market which describes the evaluation of Selberg zeta functions for character deformations via the transfer operator method.Gives a detailed description of numerical methods and a |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.. |
| 出版日期 | Book 2017 |
| 关键词 | Character deformation; Eigenvalues and resonances of hyperbolic Laplacian; Selberg zeta function; Singu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-51296-9 |
| isbn_softcover | 978-3-319-51294-5 |
| isbn_ebook | 978-3-319-51296-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 16:23:48
