An open question on the existence of Gabor frames in general linear position
نویسندگان
چکیده
Uncertainty principles for functions defined on finite Abelian groups generally relate the cardinality of a function to the cardinality of its Fourier transform. We examine how the cardinality of a function is related to the cardinality of its short–time Fourier transform. We illustrate that for some cyclic groups of small order, both, the Fourier and the short–time Fourier case, show a remarkable resemblance. We pose the question whether this correspondence holds for all cyclic groups.
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