Subspaces of de Branges Spaces Generated by Majorants

DOI10.4153/CJM-2009-026-2zbMath1176.46028OpenAlexW2038616542MaRDI QIDQ3626991

Harald Woracek, Anton D. Baranov

Publication date: 14 May 2009

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2009-026-2

zbMATH Keywords

entire functionmajorantHermite-Biehler classBeurling-Malliavin theoremde Branges subspace

Mathematics Subject Classification ID

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

Majorization in de Branges spaces. II: Banach spaces generated by majorants ⋮ Majorization in de Branges spaces. I: Representability of subspaces ⋮ Existence of zerofree functions \(N\)-associated to a de Branges Pontryagin space ⋮ Majorization in de Branges spaces. III. Division by Blaschke products ⋮ Finite-dimensional de Branges Subspaces Generated by Majorants ⋮ Polynomials in the de Branges spaces of entire functions

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