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Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type

Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 30 Mar 2022Embargo end date: 01 Jan 2020 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 54, pages 737-759 (issn: 0024-6093, eissn: 1469-2120, Copyright policy )Funded by:FWF | The conservative Camassa-...
Authors: Eckhardt, Jonathan;

doi: 10.1112/blms.12598 , 10.48550/arxiv.2003.11653

pmid: 35909635

pmc: PMC9311453

arXiv: 2003.11653

Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type

Abstract

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.

18 pages

Related Organizations
Keywords

Mathematics - Spectral Theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Primary 30B70, 34A55, Secondary 34L05, 34B20, Spectral Theory (math.SP), Research Articles, Continued fractions; complex-analytic aspects, continued fraction, Herglotz-Nevanlinna functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
hybrid