Publications of Rong-Qing Jia
2001-2005
- R. Q. Jia, Q. T. Jiang and Z. W. Shen,
Convergence of cascade algorithms associated
with nonhomogeneous refinement equations,
Proc. Amer. Math. Soc. 129 (2001), 415--427.
- T. Hogan and R. Q. Jia, Dependency relations
among the shifts of a multivariate refinable function,
Constructive Approximation 17 (2001), 19--37.
- B. Han and R. Q. Jia, Quincunx fundamental
refinable functions and quincunx biorthogonal wavelets,
Mathematics of Computation 71 (2001), 165--196.
- R. Q. Jia, K. S. Lau and D. X. Zhou,
$L_p$ Solutions of refinement equations,
The Journal of Fourier Analysis and Applications
7 (2001), 143--167.
- R. Q. Jia, Q. T. Jiang and S. L. Lee,
Convergence of cascade algorithms in Sobolev spaces and
integrals of wavelets, Numerische Mathematik
91 (2002), 453--473.
- D. R. Chen, R. Q. Jia and S. D. Riemenschneider,
Convergence of vector subdivision schemes in Sobolev spaces,
Applied and Computational Harmonic Analysis
12 (2002), 128--149.
- R. Q. Jia and Q. T. Jiang, Approximation power
of refinable functions,
in Wavelet Analysis and Applications,
AMS/IP Studies in Advanced Mathematics, Volume 25, 2002, pp. 155--178.
- R. Q. Jia, Cascade algorithms
in wavelet analysis, in Wavelet Analysis,
Twenty Year's Developments (Ding-Xuan Zhou ed.),
World Scientific, New Jersey, 2002, pp. 196--230.
- R. Q. Jia and Q. T. Jiang, Spectral analysis
of the transition operator and its applications to
smoothness analysis of wavelets,
SIAM Journal on Matrix Analysis and Applications
24 (2003), 1071-1109.
- R. Q. Jia, Convergence rates of
cascade algorithms, Proceedings of the
American Mathematical Society 131 (2003), 1739-1749.
- R. Q. Jia, J. Z. Wang and D. X. Zhou,
Compactly supported wavelet bases for Sobolev spaces,
Applied and Computational Harmonic Analysis
15 (2003), 224-241.
- D. Q. Dai, B. Han and R. Q. Jia,
Galerkin Analysis for Schrodinger Equation by Wavelets,
Journal of Mathematical Physics 45
(2004), 855--869.
- R. Q. Jia, Approximation with scaled
shift-invariant spaces by means of Quasi-projection Operators,
Journal of Approximation Theory 131 (2004), 30--46.
- W. Chen, B. Han ,and R. Q. Jia,
Maximal gap of a sampling set for the exact iterative reconstruction
algorithm in shift-invariant spaces,
IEEE Signal Processing Letters 8 (2004), 655--658.
- W. Chen, B. Han ,and R. Q. Jia,
On simple oversampled A/D conversion in shift-invariant spaces,
IEEE Transactions on Information Theory
51 (2005), 648--657.
- W. Chen, B. Han ,and R. Q. Jia,
Estimate of aliasing error for non-smooth signals prefiltered
by quasi-projections into shift-invariant spaces,
IEEE Transactions on Signal Processing
51 (2005), 1927--1933.