Gabor single-frame and multi-frame multipliers in any given dimension
Functional Analysis
2020-11-13 v1
Abstract
Functional Gabor single-frame or multi-frame generator multipliers are the matrices of function entries that preserve Parseval Gabor single-frame or multi-frame generators. An interesting and natural question is how to characterize all such multipliers. This question has been answered for several special cases including the case of single-frame generators in two dimensions and the case of multi-frame generators in one-dimension. In this paper we completely characterize multipliers for Gabor single-frame and multi-frame generators with respect to separable time-frequency lattices in any given dimension. Our approach is general and applies to the previously known cases as well.
Keywords
Cite
@article{arxiv.2011.06183,
title = {Gabor single-frame and multi-frame multipliers in any given dimension},
author = {Yuanan Diao and Deguang Han and Zhongyan Li},
journal= {arXiv preprint arXiv:2011.06183},
year = {2020}
}
Comments
21 pages, no figures