Singular Weyl-Titchmarsh-Kodaira Theory for Jacobi Operators
Jonathan Eckhardt, Gerald Teschl
TL;DR
This paper extends the Weyl-Titchmarsh-Kodaira spectral theory to singular Jacobi operators, establishing key spectral transformation results and uniqueness theorems.
Contribution
It introduces a singular spectral theory framework for Jacobi operators, including spectral transformation and uniqueness results.
Findings
Established existence of spectral transformation for singular Jacobi operators
Proved local Borg-Marchenko and Hochstadt-Liebermann type uniqueness theorems
Extended classical spectral theory to singular cases
Abstract
We develop singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.