4 papers
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…
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}…
Genus n Banach spaces
Peter G. Casazza, Mark C. Lammers
We show that the classification problem for genus n Banach spaces can be reduced to the unconditionally primary case and that the critical case there is n=2. It is further shown th…