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Direct and inverse finite-dimensiona...

Moller, Manfred.

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Direct and inverse finite-dimensional spectral problems on graphs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Direct and inverse finite-dimensional spectral problems on graphs/ by Manfred Moller, Vyacheslav Pivovarchik.
Author:	Moller, Manfred.
other author:	Pivovarchik, Vyacheslav.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xvi, 349 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-030-60484-4
ISBN:	9783030604844

Direct and inverse finite-dimensional spectral problems on graphs
Moller, Manfred.

Direct and inverse finite-dimensional spectral problems on graphs[electronic resource] /by Manfred Moller, Vyacheslav Pivovarchik. - Cham :Springer International Publishing :2020. - xvi, 349 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2830255-0156 ;. - Operator theory: advances and applications ;v.283..

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.

ISBN: 9783030604844

Standard No.: 10.1007/978-3-030-60484-4doiSubjects--Topical Terms:

542531
Operator theory.

LC Class. No.: QA329 / .M65 2020

Dewey Class. No.: 515.724

Direct and inverse finite-dimensional spectral problems on graphs
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100 1 $a Moller, Manfred. $3 2156832
245 1 0 $a Direct and inverse finite-dimensional spectral problems on graphs $h [electronic resource] / $c by Manfred Moller, Vyacheslav Pivovarchik.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a xvi, 349 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.283
505 0 $a 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.
520 $a 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.
650 0 $a Operator theory. $3 542531
650 0 $a Algebras, Linear. $3 521915
650 0 $a Difference equations. $3 544163
650 0 $a Functional equations. $3 576213
650 1 4 $a Operator Theory. $3 897311
650 2 4 $a Linear Algebra. $3 3338825
650 2 4 $a Difference and Functional Equations. $3 897290
700 1 $a Pivovarchik, Vyacheslav. $3 2156833
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Operator theory: advances and applications ; $v v.283. $3 3527122
856 4 0 $u https://doi.org/10.1007/978-3-030-60484-4
950 $a Mathematics and Statistics (SpringerNature-11649)