4 papers
Approximately dual pairs of wavelet frames
Ana Benavente, Ole Christensen, Marzieh Hasannasab +3
This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2}ψ( a^j\cdot -kb)\}_{j,k\in \mathbb Z}…
B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames
Ole Christensen, Hong Oh Kim, Rae Young Kim
We prove that Gabor systems generated by certain scaled B-splines can be considered as perturbations of the Gabor systems generated by the Gaussian, with a deviation within an arbi…
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…
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…