Synthesizable differentiation-invariant subspaces

DOI10.1007/s00039-019-00474-8zbMath1423.30038arXiv1607.08392OpenAlexW2962928976WikidataQ128325005 ScholiaQ128325005MaRDI QIDQ1733992

Yurii Belov, Anton D. Baranov

Publication date: 22 March 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08392

zbMATH Keywords

de Branges subspacesdifferentiation-invariant subspacessynthesizable subspaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (8)

On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components ⋮ Preservation of classes of entire functions defined in terms of growth restrictions along the real axis under perturbations of their zero sets ⋮ Krein-type theorems and ordered structure for Cauchy-de Branges spaces ⋮ Principal submodules in the Schwartz module ⋮ Synthesizable sequence and principle submodules in Schwartz module ⋮ On zero setsof weakly localisable pricipal submodules in the Schwartz algebra ⋮ On conditions of invertibility in the sense of Ehrenpreis in the Schwartz algebra ⋮ Spectral theory of rank one perturbations of normal compact operators

Cites Work

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