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arXiv · 2003.11653

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

Jonathan Eckhardt
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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.

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Jonathan Eckhardt. 2020-03-25. Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. https://doi.org/10.1112/blms.12598

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