Recent developments in spectral synthesis for exponential systems and for non-self-adjoint operators

zbMath1299.42014arXiv1212.6014MaRDI QIDQ5402932

Dmitry V. Yakubovich, Yurii Belov, Anton D. Baranov, Alexander Borichev

Publication date: 17 March 2014

Full work available at URL: https://arxiv.org/abs/1212.6014

zbMATH Keywords

spectral synthesisfunctional modelPaley-Wiener spacenon-self-adjoint operatorsrank one perturbationde Branges spaceshereditary completeness

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (5)

Spectral synthesis in Hilbert spaces of entire functions ⋮ Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ On spectral synthesis for dissipative Dirac type operators ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Spectral synthesis in de Branges spaces

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