An uncertainty principle and sampling inequalities in Besov spaces
Classical Analysis and ODEs
2017-02-17 v2 Functional Analysis
Abstract
We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces.
Keywords
Cite
@article{arxiv.1503.08590,
title = {An uncertainty principle and sampling inequalities in Besov spaces},
author = {Philippe Jaming and Eugenia Malinnikova},
journal= {arXiv preprint arXiv:1503.08590},
year = {2017}
}