特殊构形时频变换的线性无关性
Linear independence of time frequency translates for special configurations
摘要：
证明了对于平面上属于2条平行线的任意4点，任意非平凡Schwartz函数的时频平移之间不存在线性相关。如果满足轻度丢番图性质，我们还证明了线性无关的范畴中的$L^2(\R)$功能。
英文摘要：
We prove that for any 4 points in the plane that belong to 2 parallel lines, there is no linear dependence between the associated time-frequency translates of any nontrivial Schwartz function. If mild Diophantine properties are satisfied, we also prove linear independence in the category of $L^2(\R)$ functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
