A representing system generated by the Szeg\"{o} kernel for the Hardy space
Konstantin S. Speransky, Pavel A. Terekhin
TL;DR
This paper constructs an explicit representing system for the Hardy space using the Szeg"{o} kernel, addressing an open question through frame theory.
Contribution
It provides the first explicit construction of a representing system generated by the Szeg"{o} kernel for the Hardy space, solving a previously open problem.
Findings
Explicit representing system constructed
Answer to open question in Hardy space theory
Frame theory used for proof
Abstract
In this paper we give an explicit construction of a representing system generated by the Szeg\"{o} kernel for the Hardy space. Thus we answer an open question posed by Fricain, Khoi and Lef\`evre. We use frame theory to prove the main result.
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