A Blaschke-type condition and its application to complex Jacobi matrices
Mathematical Physics
2014-02-26 v2 math.MP
Abstract
We obtain a Blaschke-type necessary conditions on zeros of analytic functions on the unit disk with different types of exponential growth at the boundary. These conditions are used to prove Lieb-Thirring-type inequalities for the eigenvalues of complex Jacobi matrices.
Cite
@article{arxiv.0712.0407,
title = {A Blaschke-type condition and its application to complex Jacobi matrices},
author = {A. Borichev and L. Golinskii and S. Kupin},
journal= {arXiv preprint arXiv:0712.0407},
year = {2014}
}
Comments
a detailed preliminary version; a shorter version is available upon request