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Direct and inverse finite-dimensiona...

Moller, Manfred.

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Direct and inverse finite-dimensional spectral problems on graphs

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Direct and inverse finite-dimensional spectral problems on graphs/ by Manfred Moller, Vyacheslav Pivovarchik.
作者:	Moller, Manfred.
其他作者:	Pivovarchik, Vyacheslav.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xvi, 349 p. :ill., digital ;24 cm.
內容註:	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
標題:	Operator theory. -
電子資源:	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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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.
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