Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type
- Resource Type
- Working Paper
- Authors
- Eckhardt, Jonathan
- Source
- Bull. Lond. Math. Soc. 54 (2022), no. 2, 737-759
- Subject
- Mathematics - Spectral Theory
Mathematics - Classical Analysis and ODEs
Primary 30B70, 34A55, Secondary 34L05, 34B20
- Language
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.
Comment: 18 pages