On the theory of unconditional bases of Hilbert spaces formed by entire vector-functions

DOI10.1007/S40590-016-0153-3zbMath1397.46012OpenAlexW2538525780MaRDI QIDQ1743784

Gennadiy Gubreev, A. A. Tarasenko

Publication date: 16 April 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0153-3

zbMATH Keywords

entire functionsunconditional basisMuckenhoupt weight

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• Functional models of non-selfadjoint operators, strongly continuous semigroups, and matrix Muckenhoupt weights
• $ L_2$-stable semigroups, Muckenhoupt weights, and unconditional bases of values of quasi-exponentials
• Regular Mittag-Leffler kernels and spectral decomposition of a class of non-selfadjoint operators

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