The discretization problem for continuous frames
Functional Analysis
2017-07-18 v2
Abstract
We characterize when a coherent state or continuous frame for a Hilbert space may be sampled to obtain a frame, which solves the discretization problem for continuous frames. In particular, we prove that every bounded continuous frame for a Hilbert space may be sampled to obtain a frame.
Cite
@article{arxiv.1611.06469,
title = {The discretization problem for continuous frames},
author = {Daniel Freeman and Darrin Speegle},
journal= {arXiv preprint arXiv:1611.06469},
year = {2017}
}
Comments
26 pages