2 citations · 2 across the 3 of their papers we have counts for
6 papers
Preserving Injectivity under Subgaussian Mappings and Its Application to Compressed Sensing
Pete Casazza, Xuemei Chen, Richard Lynch
The field of compressed sensing has become a major tool in high-dimensional analysis, with the realization that vectors can be recovered from relatively very few linear measurement…
Weaving Schauder frames
Peter G. Casazza, Daniel Freeman, Richard G. Lynch
We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a…
A brief introduction to Hilbert space frame theory and its applications
Peter G. Casazza, Richard G. Lynch
This is a short introduction to Hilbert space frame theory and its applications for those outside the area who want to enter the subject. We will emphasize finite frame theory sinc…
Weaving Frames
Travis Bemrose, Peter G. Casazza, Karlheinz Gröchenig +2
We study an intriguing question in frame theory we call "Weaving Frames" that is partially motivated by preprocessing of Gabor frames. Two frames and $\{ψ_i \}_{…
The Unconditional Constants for Hilbert Space Frame Expansions
Travis Bemrose, Peter G. Casazza, Victor Kaftal +1
The most fundamental notion in frame theory is the frame expansion of a vector. Although it is well known that these expansions are unconditionally convergent series, no characteri…
Integer Frames
Peter G. Casazza, Richard G. Lynch, Janet C. Tremain +1
Finite frame theory has become a powerful tool for many applications of mathematics. In this paper we introduce a new area of research in frame theory: Integer frames. These are fr…