Direct and Inverse Finite-Dimensional Spectral Problems on Graphs by Vyacheslav Pivovarchik

Direct and Inverse Finite-Dimensional Spectral Problems on Graphs by Vyacheslav Pivovarchik

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.

SKU	Unavailable
ISBN 13	9783030604837
ISBN 10	3030604837
Title	Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Author	Vyacheslav Pivovarchik
Series	Operator Theory: Advances And Applications
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer Nature Switzerland AG
Year published	2020-10-31
Number of pages	349
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.