Laura De Carli, Zhongyuan Hu
Abstract
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We construct a Parseval frame with $n+1$ vectors in $\R^n$ that contains a given vector. We also provide a characterization of unit-norm frames that can be scaled to a Parseval frame.
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We construct a Parseval frame with $n+1$ vectors in $\R^n$ that contains a given vector. We also provide a characterization of unit-norm frames that can be scaled to a Parseval frame.
Key concepts: Parseval's theorem, Frame (networking), Norm (philosophy), Construct (python library), Mathematics, Unit vector, Characterization (materials science), Computer science