A representing system generated by the Szeg "o kernel for the Hardy\n space

2018/03/14 by Konstantin S. Speransky, Speransky, Konstantin S., П. А. Терехин +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1803.05492

openalex publication_date 2018/03/14 · openalex created_date 2022/09/07 · openalex updated_date 2026/07/28

Abstract

In this paper we give an explicit construction of a representing system\ngenerated by the Szeg "o kernel for the Hardy space. Thus we answer an open\nquestion posed by Fricain, Khoi and Lef `evre. We use frame theory to prove the\nmain result.\n

Cited by

• Schauder Basis With Finite Blaschke Products

Related

• Representing systems of reproducing kernels in spaces of analytic functions
• A Direct Connection Between the Bergman and Szegő Kernels
• A Tale of Three Kernels
• Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
• The Kohn-Laplacian and Cauchy-Szegö projection on Model Domains