摘要
This paper introduces an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given L2 function.Firstly,background and motivation for the conjecture are provided.Secondly,the main progress of this linear independence in the past twenty five years is reviewed.Finally,the partial results of the high dimensional case and other cases for the conjecture are briefly presented.
基金
supported in part by the National Natural Science Foundation of China(Grant No.61471410)
the Construction Fund for Subject Innovation Term of Wuhan Textile University(No.201401023).
