Frame sets for a class of compactly supported continuous functions
Abstract
The frame set of a function [Formula: see text] is the subset of all parameters [Formula: see text] for which the time-frequency shifts of [Formula: see text] along [Formula: see text] form a Gabor frame for [Formula: see text] In this paper, we investigate the frame set of a class of compactly supported continuous functions which includes the [Formula: see text]-splines. In particular, we add some new points to the frame sets of these functions. In the process, we generalize and unify some recent results on the frame sets for this class of functions.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 04, 2019
- Source ID
- 10.1142/s179355712050093x
Entities
People
- A. Ganiou D. Atindehou
- Kasso Akochayé Okoudjou
- Yebeni B. Kouagou
Organizations
- Army Research Office
- Institute of Mathematics and Physical Sciences
- Simons Foundation
- University of Maryland