| 书目名称 | Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications | | 编辑 | Manfred Möller,Vyacheslav Pivovarchik | | 视频video | | | 概述 | Provides comprehensive information on the spectral properties of quadratic operator pencils.Includes a detailed discussion of applications to spectral problems from physics and engineering.Presents a | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | .The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depending on the spectral parameter, are represented by operator polynomials that are quadratic in the eigenvalue parameter and whose coefficients are self-adjoint operators. The spectra of such operator polynomials are in general no more real, but still exhibit certain patterns. The distribution of these spectra is the main focus of the present volume. For some classes of quadratic operator polynomials, inverse problems are also considered. The connection between the spectra of such quadratic opera | | 出版日期 | Book 2015 | | 关键词 | damped vibrations; generalized Hermite-Biehler functions; inverse problems; operator pencils; spectral a | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-17070-1 | | isbn_softcover | 978-3-319-37567-0 | | isbn_ebook | 978-3-319-17070-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 17:26:44
