Linear independence of time frequency translates for special configurations
classification
🧮 math.CA
keywords
linearindependenceprovetranslatesassociatedbelongcategoryconfigurations
read the original abstract
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.
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