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.

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Bibliographic Details
Main Author: Jonathan Eckhardt
Format: Default Article
Published: 2022
Subjects:
math.SP
math.CA
Primary 30B70, 34A55, Secondary 34L05, 34B20
General Mathematics
Pure Mathematics
Online Access:https://hdl.handle.net/2134/16698436.v1
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