Abstract

This paper investigates the fine structure of the Gabor frame generated by the B-spline B3. In other words, one extends the known part of the Gabor frame set for the 3-spline with the construction of the compactly supported dual windows. The frame set of the function B3 is the subset of all parameters (a,b) ∈ R2+ for which the time-frequency shifts of B3 along aZ × bZ form a Gabor frame for L2(R).

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