Sampling in the range of the analysis operator of a continuous frame having unitary structure
Functional Analysis
2020-11-11 v1
Abstract
We establish a regular sampling theory in the range of the analysis operator of a continuous frame having a unitary structure. The unitary structure is related with a unitary representation of a locally compact abelian group on a separable Hilbert space. The samples are defined by means of suitable discrete convolution systems which generalize some usual sampling settings; here regular sampling means that the samples are taken at a countable discrete subgroup.
Keywords
Cite
@article{arxiv.2011.04712,
title = {Sampling in the range of the analysis operator of a continuous frame having unitary structure},
author = {Antonio G. García},
journal= {arXiv preprint arXiv:2011.04712},
year = {2020}
}