Abstract
The main result of this work is a parametric description of the spectral sets of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Both are hidden in the simplest possible class of regular 5-diagonal matrices, this fact we also show here.
| Original language | English |
|---|---|
| Pages (from-to) | 23-52 |
| Number of pages | 30 |
| Journal | Journal of Spectral Theory |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© European Mathematical Society.
Funding
1This work was supported by Austrian Science Fund FWF, project no: P22025-N18. This work was supported by Austrian Science Fund FWF, project no: P22025-N18.
| Funders | Funder number |
|---|---|
| Austrian Science Fund FWF | P22025-N18 |
| Austrian Science Fund |
Keywords
- Comb domains
- Conformal mappings
- Hardy spaces on Riemann surfaces
- Periodic CMV matrices
- Reproducing kernels
- Strong moment problem