159 citations · 832 across the 20 of their papers we have counts for
4 papers · 1 filter
-Bounded Sets
Christopher Heil, Pu-Ting Yu
A subset of a separable Hilbert space is -bounded if there exists a Riesz basis for such that $\sup_{x \in M} \sum_{n…
Invariance of a Shift-Invariant Space
Akram Aldroubi, Carlos Cabrelli, Christopher Heil +2
A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical…
Density, Overcompleteness, and Localization of Frames. II. Gabor Systems
R. Balan, P. G. Casazza, C. Heil +1
This work developes a quantitative framework for describing the overcompleteness of a large class of frames. A previous paper introduced notions of localization and approximation b…
Density, Overcompleteness, and Localization of Frames. I. Theory
R. Balan, P. G. Casazza, C. Heil +1
This work presents a quantitative framework for describing the overcompleteness of a large class of frames. It introduces notions of localization and approximation between two fram…