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Catalogue Information
Field name	Details
Dewey Class	515.724
Title	Direct and Inverse Finite-Dimensional Spectral Problems on Graphs ([EBook]) / by Manfred Möller, Vyacheslav Pivovarchik.
Author	Möller, Manfred
Added Personal Name	Pivovarchik, Vyacheslav
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2020.
Physical Details	XVI, 349 p. : online resource.
Series	Operator theory : advances and applications 0255-0156 ; ; 283
ISBN	9783030604844
Summary Note	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. .:
Contents note	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.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-60484-4
Links to Related Works	Subject References: Algebras, Linear . Difference and Functional Equations . Difference equations . Functional equations . Linear Algebra . Operator Theory . Authors: author . Möller, Manfred . Pivovarchik, Vyacheslav . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515.724 .

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Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

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