Overview
- 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 functions and their poles and zeros
Part of the book series: Operator Theory: Advances and Applications (OT, volume 283)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Authors: Manfred Möller, Vyacheslav Pivovarchik
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-030-60484-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-60483-7Published: 31 October 2020
Softcover ISBN: 978-3-030-60486-8Published: 01 November 2021
eBook ISBN: 978-3-030-60484-4Published: 30 October 2020
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XVI, 349
Topics: Operator Theory, Linear Algebra, Difference and Functional Equations