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math.FA2016
On partition of unities generated by entire functions and Gabor frames in $\ltrd$ and $\ell^2(\mzd)$
Ole Christensen, Hong Oh Kim, Rae Young Kim
We characterize the entire functions of variables, for which the $\mzd$-translates of satisfy the partition of unity for some $N\in \mn.$ In contra…
math.FA2016
On the Gabor frame set for compactly supported continuous functions
Ole Christensen, Hong Oh Kim, Rae Young Kim
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…