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math.FA2014
Gabor orthonormal bases generated by the unit cubes
Jean-Pierre Gabardo, Chun-Kit Lai, Yang Wang
We consider the problem in determining the countable sets in the time-frequency plane such that the Gabor system generated by the time-frequency shifts of the window $χ_{[0,1]^…
math.FA2014
Decomposition of Integral Self-Affine Multi-Tiles
Xiaoye Fu, Jean-Pierre Gabardo
In this paper, we propose a method to decompose an integral self-affine -tiling set into measure disjoint pieces satisfying in…