ON A CONSTRUCTION OF A FRAME IN THE HARDY SPACE DEFINED ON THE TWO-DIMENSIONAL POLYDISC

DOI10.18287/2541-7525-2019-25-2-21-29zbMath1467.46022OpenAlexW2990569881MaRDI QIDQ3387476

Konstantin S. Speransky

Publication date: 13 January 2021

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu601

zbMATH Keywords

Hardy spacereproducing kernelframeBanach frameSzegő kernelrepresenting system

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) 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)

Cites Work

• Representing systems generated by reproducing kernels
• A representing system generated by the Szegö kernel for the Hardy space
• A Class of Nonharmonic Fourier Series
• Banach frames in the affine synthesis problem
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