Year: 2009
Type: preprint
Abstract: We obtain two results concerning the Feichtinger conjecture for systems of normalized reproducing kernels in the model subspace $K_Θ= H^2\ominus ΘH^2$ of the Hardy space $H^2$, where $Θ$ is an inner function. First, we verify the Feichtinger conjecture for the kernels $ \tilde k_{λ_n} = k_{λ_n}/\|k_{λ_n}\|$ under the assumption that $\sup_n |Θ(λ_n)|<1$. Secondly, we prove the Feichtinger conjecture in the case where $Θ$ is a one-component inner function, meaning that the set $\{z:|Θ(z)|
Source: arXiv (Cornell University)
Authors: Baranov, Anton, Dyakonov, Konstantin
Institutions: St Petersburg University, Universitat de Barcelona
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951935665