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.

arXiv comment18 pages

References in corpus (7)

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• The inverse spectral problem for indefinite strings
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Cited by in corpus (3)

• A view of the peakon world through the lens of approximation theory
• Trace formulas and inverse spectral theory for generalized indefinite strings
• The conservative Camassa-Holm flow with step-like irregular initial data