| 书目名称 | Direct and Inverse Finite-Dimensional Spectral Problems on Graphs |
| 编辑 | Manfred Möller,Vyacheslav Pivovarchik |
| 视频video | |
| 概述 | Features comprehensively direct and inverse problems for graphs of strings.Appeals to both researchers in mathematics and practitioners in engineering.Presents the relation between classes of rational |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | .Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. ..This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research. . |
| 出版日期 | Book 2020 |
| 关键词 | Hermite-Biehler polynomials; Lagrange polynomials; Nevanlinna rational function; rational Stieltjes fu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-60484-4 |
| isbn_softcover | 978-3-030-60486-8 |
| isbn_ebook | 978-3-030-60484-4Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 16:09:19
