國立高雄大學圖資館 |

Language: English

Back

Direct and inverse finite-dimensiona...

Moller, Manfred.

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 graphsby 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.
Contained By:	Springer Nature eBook
Subject:	Operator theory.
Online resource:	https://doi.org/10.1007/978-3-030-60484-4
ISBN:	9783030604844$q(electronic bk.)

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.219..

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$q(electronic bk.)

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

229156
Operator theory.

LC Class. No.: QA329 / .M65 2020

Dewey Class. No.: 515.724

Direct and inverse finite-dimensional spectral problems on graphs
LDR:02314nmm a2200337 a 4500 001 589013
003 DE-He213
005 20210204132209.0
006 m d
007 cr nn 008maaau
008 210525s2020 sz s 0 eng d
020 $a 9783030604844$q(electronic bk.)
020 $a 9783030604837$q(paper)
024 7 $a 10.1007/978-3-030-60484-4 $2 doi
035 $a 978-3-030-60484-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329 $b .M65 2020
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.724 $2 23
090 $a QA329 $b .M726 2020
100 1 $a Moller, Manfred. $3 726883
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 229156
650 0 $a Algebras, Linear. $3 183087
650 0 $a Difference equations. $3 185958
650 0 $a Functional equations. $3 183270
650 1 4 $a Operator Theory. $3 274795
650 2 4 $a Linear Algebra. $3 821215
650 2 4 $a Difference and Functional Equations. $3 274826
700 1 $a Pivovarchik, Vyacheslav. $3 726884
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u https://doi.org/10.1007/978-3-030-60484-4
950 $a Mathematics and Statistics (SpringerNature-11649)