Maximum Robustness and Surgery of Frames in finite dimensions

2013/03/05 by Martin S. Copenhaver, Copenhaver, Martin S., Yeon Hyang Kim +9
Mathematics · #05B20 #15A03 #42C15 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1303.1163

openalex publication_date 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider frames in a finite-dimensional Hilbert space Hn where frames are exactly the spanning sets of the vector space. We present a method to determine the maximum robustness of a frame. We present results on tight subframes and surgery of frames. We also answer the question of when length surgery resulting in a tight frame set for Hn is possible.

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