Publication
List:
- A. Benavente, O. Christensen, M. Hasannasab, H.O. Kim,
R.Y. Kim, F.D. Kovac,
Approximately dual pairs of wavelet frames, 507, no. 2, Paper No. 125841, 11 pp, 2022
- O. Christensen, S.S. Goh, H.O. Kim, R.Y. Kim,
Translation partitions of unity, symmetry properties, and Gabor frames, 47, no. 4, Paper No. 49, 26 pp, 2021
- O. Christensen, S. Datta, R.Y. Kim,
Equiangular frames and generalizations of the Welch bound to dual pairs of frames, 68, no. 12, 2495--2505, 2020
- O. Christensen, A.J.E.M. Janssen,
H.O. Kim, R.Y. Kim,
Approximately dual Gabor frames and almost perfect reconstruction based on a class of window functions, Advances
in Computational Mathematics, 44, no. 5, 1519-1535, 2018
- O. Christensen, H.O. Kim, R.Y. Kim,
B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames,
Journal
of Fourier Analysis and Applications, 24, no. 4, 1119-1140,
2018 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
Characterisations of partition of unities generated by entire functions in C^d,
Bulletin of the Australian Mathematical Society,
95, no. 2, 281-290, 2017
- O. Christensen, H.O. Kim, R.Y. Kim,
On Partition of Unities Generated by Entire Functions and Gabor Frames in L2(Rd)
and §¤2(Zd), Journal
of Fourier Analysis and Applications, 22, no. 5, 1121-1140,
2016 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
On extensions of wavelet systems to dual pairs of frames,
Advances
in Computational Mathematics, 42, no. 2, 489-503, 2016
[PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
On the Gabor frame set for compactly supported continuous
functions,
Journal of Inequalities and Applications, 2016:94, 2016
- O. Christensen, H.O. Kim, R.Y. Kim,
On
Gabor frames generated by sign-changing windows and B-splines,
Applied
and Computational Harmonic Analysis, 39, no. 3, 523-544,
2015 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim, On entire functions restricted to intervals, partition of unities, and dual
Gabor frames, Applied
and Computational Harmonic Analysis, 38, no. 1, 72-86, 2015 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
On
Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension
Principle, Canadian Mathematical Bulletin,
57, no.2, 254-263, 2014 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
Regularity
of Dual Gabor Windows, Abstract
and Applied Analysis, Art. ID 747268, 8 pp, 2013 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
Extensions of Bessel sequences to dual pairs of frames,
Applied
and Computational Harmonic Analysis, 34, no. 2, 224-233, 2013
[PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
Gabor windows supported on [-1, 1] and dual windows with small support,
Advances
in Computational Mathematics, 36, no. 4, 525-545, 2012
[PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
On the duality principle by Casazza, Kutyniok, and Lammers,
Journal
of Fourier Analysis and Applications, 17, no. 4, 640-655, 2011 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
Gabor windows supported on [-1,1] and compactly supported dual windows,
Applied
and Computational Harmonic Analysis,
28, no. 1, 89-103, 2010 [PDF]
- O. Christensen, R.Y. Kim,
On dual Gabor frame pairs generated by polynomials, Journal
of Fourier Analysis and Applications, 16, no. 1, 1-16, 2010
[PDF]
- H.O. Kim, R.Y. Kim, Y.J. Lee, J.H. Yoon,
Quasi-interpolatory
Refinable Functions and Construction of Biorthogonal Wavelet Systems, Advances
in Computational Mathematics,
33, no. 3, 255-283, 2010 [PDF]
- H.O. Kim, R.Y. Kim, J.K. Lim,
New look at the constructions of multiwavelet frames, Bulletin of the Korean Mathematical
Society, 47, no. 3 563-573, 2010 [PDF]
- H.O. Kim, R.Y. Kim,
S.S. Kim, Pseudo-Butterworth refinable functions, Current Development
in Theory and Applications of Wavelets, 4, no. 1, 1-38, 2010
- O. Christensen, H.O. Kim, R.Y. Kim, Gabor
frames with reduced redundancy, SAMPTA'09, Marseille : France (2009)
- H.O. Kim, R.Y. Kim, J.K. Lim, Internal
structure of the multiresolution analyses defined by the unitary extension
principle, Journal of Approximation Theory,
154, no. 2, 140-160, 2008 [PDF]
- O. Christensen, R.Y. Kim, Tight matrix-generated
Gabor frames in L^2(R^d) with desired time-frequency localization, Journal of Applied Mathematics
and Informatics, 26, no. 5-6, 1247-1256, 2008 [PDF]
- R.Y. Kim, On the asymptotic convergence of orthonormal cardinal
refinable functions, Journal of the
Korean Society for Industrial and Applied Mathematics, 12, no. 3, 133-137,
2008
- H.O.
Kim, R.Y. Kim, Sobolev exponents of Butterworth refinable functions,
Applied Mathematics Letters,
21, no. 5, 510-515,
2008 [PDF]
- H.O.
Kim, R.Y. Kim, J.S. Ku, An algorithm for constructing symmetric dual filters,
Journal of the Korean Society
for Industrial and Applied Mathematics, 11, no. 3, 21-28, 2007.
- H.O.
Kim, R.Y. Kim, J.K. Lim, Z. Shen, A Pair of Orthogonal Frames, Journal of Approximation Theory,
147, no. 2, 196-204,
2007
- H.O. Kim, R.Y. Kim,
J.S. Ku, On asymptotic behavior of
Battle-Lemarie scaling functions and wavelets, Applied Mathematics Letters,
20, no. 4, 376-381, 2007 [PDF]
- O. Christensen, H.O. Kim, R.Y. Kim,
J.K. Lim, Riesz sequences of translates and generalized duals with support
on [0,1], Journal of Geometric Analysis,
16, no. 4, 585-596, 2006 [PDF]
- O. Christensen, R.Y. Kim, Pairs of explicitly
given dual Gabor frames in L^2(R^d), Journal
of Fourier Analysis and Applications, 12, no. 3, 243--255, 2006 [PDF]
- H.O. Kim, R.Y. Kim, J.K. Lim,
Characterization of the closedness of the sum of two shift-invariant spaces,
Journal
of Mathematical Analysis and Applications, 320,
no. 1, 381--395, 2006
- H.O. Kim, R.Y. Kim, J.K. Lim,
The infimum cosine angle between two finitely generated shift-invariant
spaces and its applications, Applied
and Computational Harmonic Analysis,
19, no. 2, 253--281, 2005
- O. Christensen, H.O. Kim, R.Y. Kim, J.K. Lim, Perturbation of
frame sequences in shift-invariant spaces,
Journal of Geometric Analysis,
15, no. 2, 181--192, 2005 [PDF]
- M.J. Choi, R.Y. Kim, M.R. Nam, H.O. Kim, Fusion of Multispectral and Panchromatic
Satellite Images Using the Curvelet
Transform, IEEE Geoscience and Remote Sensing Letters,
2, no. 2, 136--140, 2005
- H.O. Kim, R.Y. Kim, J.K. Lim, On the spectrums of frame
multiresolution analyses, Journal
of Mathematical Analysis and Applications, 305,
no. 2, 528--545, 2005
- H.O. Kim, R.Y. Kim, J.S. Ku, Wavelet Frames from
Butterworth Filters, Sampling
Theory in Signal and Image Processing, 4, no. 3, 231--250,
2005
- M.J. Choi, R.Y. Kim, M.G. Kim, The Curvelet Transform for
Image Fusion, ISTANBUL ISPRS 2004, 35, part B8, 59--64, 2004
- M.J.
Choi, M.G. Kim, T.J. Kim, R.Y. Kim, Biorthogonal Wavelets-based Landsat 7 Image Fusion, Proc. ACRS
2003 ISRS, 24, 494--496, 2003
- H.O. Kim, R.Y. Kim, J.K. Lim,
Quasi-biorthogonal frame multiresolution analyses and wavelets, Advances
in Computational Mathematics,18, no. 2, 269--296, 2003
- H.O. Kim, R.Y. Kim, J.K. Lim, Local
analysis of frame multiresolution analysis with a general dilation matrix, Bulletin of the Australian Mathematical Society, 67, no. 2, 285--296, 2003
- H.O. Kim, R.Y. Kim, Y.H. Lee, J.K. Lim, On
Riesz wavelets associated with multiresolution analyses, Applied
and Computational Harmonic Analysis,
13, no. 2, 138--150, 2002
- H.O. Kim, R.Y. Kim, J.K. Lim,
Semi-orthogonal frame wavelets and frame multi-resolution analyses, Bulletin of the Australian Mathematical Society,
65, no. 1, 35--44, 2002
- G.J.
Chae, H.O. Kim, R.Y. Kim, On the Cohen-type conditions for the stability of shifts of a
refinable function, Wavelet Anal. Appl., AMS/IP Stud. Math. 25, 67--72,
2002
- H.O.
Kim, R.Y. Kim, J.K.
Lim, MRA-wavelets and shift-invariant space of L^2 (R), Proceedings of the
Workshop on Real and Complex Analysis, 98--107, 2001
- G.J. Chae, H.O. Kim, R.Y.
Kim, Variations of Cohen's theorem, Japan Journal of Industrial and Applied Mathematics, 18, no.
3, 769--775, 2001
- H.O. Kim, R.Y. Kim, J.K. Lim,
Characterizations of biorthogonal wavelets which are associated with
biorthogonal multiresolution analyses, Applied
and Computational Harmonic Analysis,
11, no. 2,
263--272, 2001