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doi: 10.3934/cpaa.2022011
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## Uniform approximation property of frames with applications to erasure recovery

 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

* Corresponding author

Received  April 2021 Revised  November 2021 Early access December 2021

Fund Project: This work was partially supported by the National Natural Science Foundation of China (11801282, 12101329 and 12171250) and the Fundamental Research Funds for the Central Universities

In this paper, we introduce frames with the uniform approximation property (UAP). We show that with a UAP frame, it is efficient to recover a signal from its frame coefficients with one erasure while the recovery error is smaller than that with the ordinary recovery algorithm. In fact, our approach gives a balance between the recovery accuracy and the computational complexity.

Citation: Ting Chen, Fusheng Lv, Wenchang Sun. Uniform approximation property of frames with applications to erasure recovery. Communications on Pure & Applied Analysis, doi: 10.3934/cpaa.2022011
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