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＜電子ブック＞
Direct and Inverse Finite-Dimensional Spectral Problems on Graphs / by Manfred Möller, Vyacheslav Pivovarchik
(Operator Theory: Advances and Applications. ISSN:22964878 ; 283)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2020
本文言語	英語
大きさ	XVI, 349 p : online resource
著者標目	*Möller, Manfred author Pivovarchik, Vyacheslav author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Algebras, Linear LCSH:Difference equations LCSH:Functional equations FREE:Operator Theory FREE:Linear Algebra FREE:Difference and Functional Equations
一般注記	Stieltjes strings -- Vibrations of star graphs -- Damped vibrations -- Trees -- Miscellaneous results -- Discrete Laplacians -- Relation between finite and infinite dimensional problems on graphs -- Rational Nevanlinna and Stieltjes Functions 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. HTTP:URL=https://doi.org/10.1007/978-3-030-60484-4

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