Density results for continuous frames
Functional Analysis
2023-05-02 v1
Abstract
We derive necessary conditions for localization of continuous frames in terms of generalized Beurling densities. As an important application we provide necessary density conditions for sampling and interpolation in a very large class of reproducing kernel Hilbert spaces.
Cite
@article{arxiv.1702.05285,
title = {Density results for continuous frames},
author = {Mishko Mitkovski and Aaron Ramirez},
journal= {arXiv preprint arXiv:1702.05285},
year = {2023}
}