Parseval frames with n+1 vectors in Rⁿ

2013/08/14 by Laura De Carli, Zhongyuan Hu, De Carli, Laura +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.1308.3215

openalex publication_date 2013/08/14 · arxiv created 2013/09/14 · arxiv updated 2013/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a Parseval frame with n+1 vectors in \Rⁿ 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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