47 citations · 93 across the 33 of their papers we have counts for
4 papers · 1 filter
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}…
Weyl-Heisenberg Frames, Translation Invariant Systems and the Walnut Representation
Peter G. Casazza, Ole Christensen, A. J. E. M. Janssen
We present a comprehensive analysis of the convergence properties of the frame operators of Weyl-Heisenberg systems and shift-invariant systems, and relate these to the convergence…
The Art of Frame Theory
Peter G. Casazza
Thye theory of frames for a Hilbert space plays a fundamental role in signal processing, image processing, data compression, sampling theory and much more, as well as being a fruit…
The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures
Peter G. Casazza, Niels Jorgen Nielsen
The main result of this paper states that if a Banach space X has the property that every bounded operator from an arbitrary subspace of X into an arbitrary Banach space of cotype…