English

A matrix version of a higher-order Szeg{\"o} theorem

Probability 2020-07-13 v2 Spectral Theory

Abstract

We extend a higher-order sum rule proved by B. Simon to matrix valued measures on the unit circle and their matrix Verblunsky coefficients.

Keywords

Cite

@article{arxiv.2006.03336,
  title  = {A matrix version of a higher-order Szeg{\"o} theorem},
  author = {Alain Rouault},
  journal= {arXiv preprint arXiv:2006.03336},
  year   = {2020}
}
R2 v1 2026-06-23T16:04:57.837Z