2 citations · 6 across the 8 of their papers we have counts for
8 papers · 1 filter
Gabor duals with minimal L1-norm
Rocío Díaz Martín, Mark Lammers, Brendan Miller +1
It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows…
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 \}_{…
A Hilbert C*-module for Gabor systems
Michael Coco, M. C. Lammers
We construct Hilbert -modules useful for studying Gabor systems and show that they are Banach algebras under pointwise multiplication. For rational we prove that the se…
Classifying characteristic functions giving Weyl-Heisenberg frames
P. G. Casazza, M. C. Lammers
We examine the question of which characteristic functions yield Weyl-Heisenberg frames for various values of the parameters. We also give numerous applications of frames of charact…
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…
Analyzing the Weyl-Heisenberg Frame Identity
Peter G. Casazza, M. C. Lammers
In 1990, Daubechies proved a fundamental identity for Weyl-Heisenberg systems which is now called the Weyl-Heisenberg Frame Identity. WH-Frame Identity: If $g\in W(L^{\infty},L^{1}…