Irregular and multi--channel sampling of operators
Functional Analysis
2009-03-06 v1 Classical Analysis and ODEs
Abstract
The classical sampling theorem for bandlimited functions has recently been generalized to apply to so-called bandlimited operators, that is, to operators with band-limited Kohn-Nirenberg symbols. Here, we discuss operator sampling versions of two of the most central extensions to the classical sampling theorem. In irregular operator sampling, the sampling set is not periodic with uniform distance. In multi-channel operator sampling, we obtain complete information on an operator by multiple operator sampling outputs.
Keywords
Cite
@article{arxiv.0903.1082,
title = {Irregular and multi--channel sampling of operators},
author = {Yoon Mi Hong and Goetz E. Pfander},
journal= {arXiv preprint arXiv:0903.1082},
year = {2009}
}