Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type
We employ some results about continued fraction expansions of
Herglotz-Nevanlinna functions to characterize the spectral data of generalized
indefinite strings of Stieltjes type. In particular, this solves the
corresponding inverse spectral problem through explicit formulas.
Funding
Austrian Science Fund. Grant Number: P29299
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School
- Science
Department
- Mathematical Sciences
Published in
Bulletin of the London Mathematical SocietyVolume
54Issue
2Pages
737-759Publisher
London Mathematical SocietyVersion
- VoR (Version of Record)
Rights holder
© The AuthorPublisher statement
This is an Open Access Article. It is published by Wiley under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/Acceptance date
2021-09-23Publication date
2022-03-30Copyright date
2022ISSN
0024-6093eISSN
1469-2120Publisher version
Language
- en
Depositor
Dr Jonathan Eckhardt. Deposit date: 29 September 2021Usage metrics
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