Modulation invariant spaces on locally compact abelian groups
Functional Analysis
2019-11-11 v1
Abstract
We define and investigate modulation invariant spaces on a locally compact abelian group with respect to a closed subgroup of the dual group . Using a range function approach, we establish a characterization of modulation invariant spaces. Finally, we define a metric on the collection of all modulation invariant spaces and study some topological properties of the metric space.
Keywords
Cite
@article{arxiv.1911.03434,
title = {Modulation invariant spaces on locally compact abelian groups},
author = {M. Mortazavizadeh and R. Raisi Tousi},
journal= {arXiv preprint arXiv:1911.03434},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1910.14675, arXiv:1910.13514