Vali-e-Asr university of Rafsanjan Wavelet and Linear Algebra 2383-1936 12 2 2025 12 01 Redundancy and frame potential of finite frames 1 14 733227 10.22072/wala.2024.2033719.1456 EN Mahdieh Sadat Aghaei Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. Mohammad Ali Hasankhani Fard Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. 0000-0001-5734-1576 Journal Article 2024 06 25 This paper is concentrated on redundancy and frame potential of finite frames in $n$-dimensional Hilbert space $\mathcal{H}_n$. More precisely, all possible finite frame redundancies are characterized. Also, all possible frame potential of finite frames with prescribed norms is characterized. Finally, the results are presented for dimensions $n=2$ and $n=3$. ... https://wala.vru.ac.ir/article_733227_20d46f7bbe9725a08dea0160983c9eb5.pdf