126 citations · 348 across the 94 of their papers we have counts for
4 papers · 1 filter
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…
The Kadison-Singer Problem in Mathematics and Engineering
Peter G. Casazza, Matt Fickus, Janet C. Tremain +1
We will show that the famous, intractible 1959 Kadison-Singer problem in -algebras is equivalent to fundamental unsolved problems in a dozen areas of research in pure mathem…
A fundamental identity for Parseval frames
R. Balan, P. G. Casazza, D. Edidin +1
In this paper we establish a suprising fundamental identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general f…