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math.FA2017
A matrix characterization of boundary representations of positive matrices in the Hardy space
John E. Herr, Palle E. T. Jorgensen, Eric S. Weber
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 i…
math.FA2016
Positive Matrices in the Hardy Space with Prescribed Boundary Representations via the Kaczmarz Algorithm
John E. Herr, Palle E. T. Jorgensen, Eric S. Weber
For a singular probability measure on the circle, we show the existence of positive matrices on the unit disc which admit a boundary representation on the unit circle with resp…