Preprint
A matrix characterization of boundary representations of positive matrices in the Hardy space
ArXiv.org
05/09/2017
DOI: 10.48550/arXiv.1705.04198
Abstract
Spectral measures give rise to a natural harmonic analysis on the unit disc via a boundary representation of a positive matrix arising from a spectrum of the measure. We consider in this paper the reverse: for a positive matrix in the Hardy space of the unit disc we consider which measures, if any, yield a boundary representation of the positive matrix. We introduce a potential characterization of those measures via a matrix identity and show that the characterization holds in several important special cases.
Details
- Title: Subtitle
- A matrix characterization of boundary representations of positive matrices in the Hardy space
- Creators
- John E HerrPalle E. T JorgensenEric S Weber
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arXiv.1705.04198
- ISSN
- 2331-8422
- Language
- English
- Date posted
- 05/09/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240764302771
Metrics
99 Record Views