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• W2287694976 abstract "We identify a class of continuous compactly supported functions for which the known part of the Gabor frame set can be extended. At least for functions with support on an interval of length two, the curve determining the set touches the known obstructions. Easy verifiable sufficient conditions for a function to belong to the class are derived, and it is shown that the B-splines $B_{N}$ , $Nge2$ , and certain ‘continuous and truncated’ versions of several classical functions (e.g., the Gaussian and the two-sided exponential function) belong to the class. The sufficient conditions for the frame property guarantees the existence of a dual window with a prescribed size of the support." @default.
• W2287694976 created "2016-06-24" @default.
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• W2287694976 date "2016-03-18" @default.
• W2287694976 modified "2023-09-23" @default.
• W2287694976 title "On the Gabor frame set for compactly supported continuous functions" @default.
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• W2287694976 doi "https://doi.org/10.1186/s13660-016-1021-4" @default.
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