174 citations · 281 across the 25 of their papers we have counts for
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math.FA2003
Rank-One Decomposition of Operators and Construction of Frames
Keri Kornelson, David Larson
The construction of frames for a Hilbert space H can be equated to the decomposition of the frame operator as a sum of positive operators having rank one. This realization provides…
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…
math.OA2003
Ellipsoidal tight frames and projection decompositions of operators
Ken Dykema, Dan Freeman, Keri Kornelson +3
We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surface within a real or complex separable Hilbert space H, and we analyze the set of attainab…