On extended eigenvalues and extended eigenvectors of truncated shift
Hasan Alkanjo
TL;DR
This paper characterizes the extended eigenvectors of truncated shift operators on model spaces generated by Blaschke products, providing a comprehensive mathematical description of their structure.
Contribution
It offers a complete description of the extended eigenvectors for truncated shifts on model spaces with Blaschke products, advancing the understanding of their spectral properties.
Findings
Explicit characterization of extended eigenvectors
Complete description for Blaschke product cases
Enhanced understanding of spectral structure
Abstract
We give a complete description of the set of extended eigenvectors of truncated shifts defined on the model spaces K_u := H^2\ominus uH^2, in the case of u is a Blaschke product.
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.
Taxonomy
TopicsNonlinear Differential Equations Analysis · Advanced Differential Equations and Dynamical Systems · Differential Equations and Boundary Problems