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math.FA1998
Classifying Tight Weyl-Heisenberg Frames
Peter G. Casazza, Ole Christensen
A Weyl-Heisenberg frame for L^2(R) is a frame consisting of translates and modulates of a fixed function. In this paper we give necessary and sufficient conditions for this family…
math.FA1998
Weyl-Heisenberg frames for subspaces of L^2(R)
Peter G. Casazza, Ole Christensen
We give sufficient conditions for translates and modulates of a function g in L^2(R) to be a frame for its closed linear span. Even in the case where this family spans all of L^2(R…
math.FA1998
Frames of translates
Peter G. Casazza, Ole Christensen, Nigel J. Kalton
We give necessary and sufficient conditions for a subfamily of regularly spaced translates of a function to form a frame (resp. a Riesz basis) for its span. One consequence is that…