A matrix characterization of boundary representations of positive matrices in the Hardy space

DOI10.1090/conm/706/14211zbMath1407.46021arXiv1705.04198OpenAlexW2963244139MaRDI QIDQ4686256

Eric S. Weber, Palle E. T. Jorgensen, John E. Herr

Publication date: 9 October 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04198

zbMATH Keywords

Hardy spaceboundary representationpositive matrix

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Fourier series and coefficients in several variables (42B05) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (8)

Reproducing kernels: harmonic analysis and some of their applications ⋮ Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ Fourier Series for Fractals in Two Dimensions ⋮ A characterization of boundary representations of positive matrices in the Hardy space via the Abel product ⋮ Stability of the Kaczmarz reconstruction for stationary sequences ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces

Cites Work

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