911 citations
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Showing 2003 · math.FAShow all
3 papers · 2 filters
math.FA2003
Orthogonal Frames of Translates
Eric Weber
Two Bessel sequences are orthogonal if the composition of the synthesis operator of one sequence with the analysis operator of the other sequence is the 0 operator. We characterize…
math.FA2003★ 2 cited
The Geometry of Sampling on Unions of Lattices
Eric Weber
In this short note we show two results concerning sampling translation invariant subspaces of $\ltwod$ on unions of lattices. The first result shows that the sampling transform on…
math.FA2003★ 2 cited
Geometric Aspects of Frame Representations of Abelian Groups
Akram Aldroubi, David Larson, Wai-Shing Tang +1
We consider frames arising from the action of a unitary representation of a discrete countable abelian group. We show that the range of the analysis operator can be determined by c…