Journal article
A characterization of boundary representations of positive matrices in the Hardy space via the Abel product
Linear algebra and its applications, Vol.576, pp.51-66
09/01/2019
DOI: 10.1016/j.laa.2018.02.023
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 prove a characterization of those representing measures via a matrix identity by introducing a new operator product called the Abel Product.
Details
- Title: Subtitle
- A characterization of boundary representations of positive matrices in the Hardy space via the Abel product
- Creators
- John E Herr - Butler UniversityPalle E.T Jorgensen - University of IowaEric S Weber - Iowa State University
- Resource Type
- Journal article
- Publication Details
- Linear algebra and its applications, Vol.576, pp.51-66
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.laa.2018.02.023
- ISSN
- 0024-3795
- eISSN
- 1873-1856
- Language
- English
- Date published
- 09/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241055002771
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