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We introduce three quantities called total coherence, total volume, and nuclear energy, and we show that equiangular Parseval frames maximize all three of these quantities over the set of all Parseval frames.
Lower bounds on the maximum cross correlation of signals (corresp.)
Lloyd Welch · 1974
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Carl D Meyer · 2000
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John J Benedetto and Matthew Fickus · 2003
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Roderick B Holmes and Vern I Paulsen · 2004
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Bernhard G Bodmann and Vern I Paulsen · 2005
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Real, tight frames with maximal robustness to erasures
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Constructing finite frames of a given spectrum and set of lengths
Jameson Cahill, Matthew Fickus, Dustin G Mixon, Miriam J Poteet, and Nate Strawn · 2013
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Jameson Cahill and Nate Strawn · 2013
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Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Matthew Fickus, Dustin G Mixon, Miriam J Poteet, and Nate Strawn · 2013
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Simon Foucart and Holger Rauhut · 2013
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Frame potentials and the geometry of frames
Bernhard G Bodmann and John Haas · 2015
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Yonina C Eldar and Gitta Kutyniok · 2012
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Matthew Fickus and Dustin G Mixon · 2012
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Matthew Fickus, Dustin G Mixon, and Janet C Tremain · 2012
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Tables of the existence of equiangular tight frames. arxiv e-print
Matthew Fickus and Dustin G Mixon · 2015
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Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames
Jameson Cahill, Dustin G Mixon, and Nate Strawn · 2017
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An introduction to finite tight frames
Shayne FD Waldron · 2018
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John Jasper, Emily J King, and Dustin G Mixon · 2019
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