The Feichtinger conjecture for reproducing kernels in model subspaces

Details The Feichtinger conjecture for reproducing kernels in model subspaces The Feichtinger conjecture for reproducing kernels in model subspaces

2009-06-11

arxiv.org/abs/0906.2158v1

Journal of Geometric Analysis, 21 (2011), 2, 276-287

Mathematics

Complex Variables

14 pages

Scientific paper

We obtain two results concerning the Feichtinger conjecture for systems of normalized reproducing kernels in the model subspace $K_\Theta = H^2\ominus \Theta H^2$ of the Hardy space $H^2$, where $\Theta$ is an inner function. First, we verify the Feichtinger conjecture for the kernels $ \tilde k_{\lambda_n} = k_{\lambda_n}/\|k_{\lambda_n}\|$ under the assumption that $\sup_n |\Theta(\lambda_n)|<1$. Secondly, we prove the Feichtinger conjecture in the case where $\Theta$ is a one-component inner function, meaning that the set $\{z:|\Theta(z)|<\varepsilon\}$ is connected for some $\varepsilon\in(0,1)$.

Affiliated with

Also associated with

No associations

Rating

The Feichtinger conjecture for reproducing kernels in model subspaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Feichtinger conjecture for reproducing kernels in model subspaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Feichtinger conjecture for reproducing kernels in model subspaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516889