47 citations · 50 across the 3 of their papers we have counts for
19 papers · 1 filter
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…
On signal reconstruction without noisy phase
Radu Balan, Pete Casazza, Dan Edidin
We construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from the absolute value of the frame coefficients. As a consequence, signal recons…
Frames of subspaces
Peter G. Casazza, Gitta Kutyniok
One approach to ease the construction of frames is to first construct local components and then build a global frame from these. In this paper we will show that the study of the re…
A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2
Peter G. Casazza, Niels J. Nielsen
We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2
Perturbations of Weyl-Heisenberg frames
Peter G. Casazza, Ole Christensen, Mark C. Lammers
We develop a usable perturbation theory for Weyl-Heisenberg frames. In particular, we prove that if $(E_{mb}T_{na}g)_{m,n\inmathbb Z}$ is a WH-frame and is a function which is…
An example of an asymptotically Hilbertian space which fails the approximation property
P. G. Casazza, C. L. Garcia, W. B. Johnson
Following Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the appro…