Operator Theory: Advances and Applications

Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

Authors: Möller, Manfred, Pivovarchik, Vyacheslav

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  • Features comprehensively direct and inverse problems for graphs of strings
  • Appeals to both researchers in mathematics and practitioners in engineering
  • Presents the relation between classes of rational functions and their poles and zeros
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About this book

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. 

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-60484-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-60483-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
283
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-60484-4
DOI
10.1007/978-3-030-60484-4
Hardcover ISBN
978-3-030-60483-7
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XVI, 349
Topics