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pro vyhledávání: '"Kim, Hong Oh"'
Autor:
Benavente, Ana, Christensen, Ole, Hasannasab, Marzieh, Kim, Hong Oh, Kim, Rae Young, Kovac, Federico D.
This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2}\psi( a^j\cdot -kb)\}_{j,k\in \mathbb Z}$ in $L^2(\mathbb R)$ for which no dual frame has wavelet structure
Externí odkaz:
http://arxiv.org/abs/2107.03938
B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames
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 arbitrary small tolerance whenever the order $N$ of the B-spline is suffic
Externí odkaz:
http://arxiv.org/abs/1708.04803
On partition of unities generated by entire functions and Gabor frames in $\ltrd$ and $\ell^2(\mzd)$
We characterize the entire functions $P$ of $d$ variables, $d\ge 2,$ for which the $\mzd$-translates of $P\chi_{[0,N]^d}$ satisfy the partition of unity for some $N\in \mn.$ In contrast to the one-dimensional case, these entire functions are not nece
Externí odkaz:
http://arxiv.org/abs/1602.05722
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 obstruc
Externí odkaz:
http://arxiv.org/abs/1602.05717
For a class of compactly supported windows we characterize the frame property for a Gabor system $\mts,$ for translation parameters $a$ belonging to a certain range depending on the support size. We show that the obstructions to the frame property ar
Externí odkaz:
http://arxiv.org/abs/1503.02160
It is an open problem whether any pair of Bessel sequences with wavelet structure can be extended to a pair of dual frames by adding a pair of singly generated wavelet systems. We consider the particular case where the given wavelet systems are gener
Externí odkaz:
http://arxiv.org/abs/1401.0862
Partition of unities appear in many places in analysis. Typically they are generated by compactly supported functions with a certain regularity. In this paper we consider partition of unities obtained as integer-translates of entire functions restric
Externí odkaz:
http://arxiv.org/abs/1308.5557
Publikováno v:
Proceedings of the American Mathematical Society, 2000 Aug 01. 128(8), 2297-2308.
Externí odkaz:
https://www.jstor.org/stable/119819
Autor:
Choa, Jun Soo, Kim, Hong Oh
Publikováno v:
Proceedings of the American Mathematical Society, 1997 Jan 01. 125(1), 145-151.
Externí odkaz:
https://www.jstor.org/stable/2161805
Publikováno v:
In Applied and Computational Harmonic Analysis January 2015 38(1):72-86