Unconditional bases in weakly weighted spaces of entire functions

DOI10.1090/SPMJ/1541zbMath1420.46027OpenAlexW2912668856WikidataQ128367449 ScholiaQ128367449MaRDI QIDQ3120542

K. P. Isaev, R. S. Yulmukhametov, A. V. Lutsenko

Publication date: 5 March 2019

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1541

zbMATH Keywords

Hilbert spacesentire functionsreproducing kernelsunconditional bases

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) Bergman spaces and Fock spaces (30H20)

Related Items (7)

Unconditional bases of reproducing kernels for Fock spaces with nonradial weights ⋮ Unconditional bases in radial Hilbert spaces ⋮ Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions ⋮ On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights ⋮ Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions ⋮ Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$ ⋮ On a sufficient condition for the existence of unconditional bases of reproducing kernels in Hilbert spaces of entire functions

Cites Work

• Unnamed Item
• Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
• Riesz bases of reproducing kernels in Fock-type spaces

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