Optimal splitting of Parseval frames using Walsh matrices
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Date
2018
Authors
Albrecht, A.
Howlett, P.
Verma, G.
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Poincare Journal of Analysis and Applications, 2018; 2018(2, SI II):39-58
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In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to provea key discrepancy theorem and in so doing gave a positive answer to the long-standing Kadison–SingerProblem. In this paper we use Walsh matrices to construct a class of natural framesin Euclidean space and discuss how these frames relate to the key discrepancy theorem.
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copyright 2018 Poincare Publishers