The frame sets of the B-splines

Abstract

It is not completely clear which elements constitute the frame sets of the B-splines currently, but some considerable results have been obtained. In this paper, firstly, the background of frame set is introduced. Secondly, the main progress of the frame sets of the B-splines in the past more than twenty years are reviewed, and particularly the progress for the frame set of the 2 order B-spline and the frame set of the 3 order B-spline are explained, respectively.

Key words： B-spline; Gabor frame; frame set

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant No. 61471410).

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