PUBLICATIONS

  1. Jianzhong Wang, On Spline Wavelets, in the book "Wavelets and Splines¡ªAthens 2005" Ed. by G. Chen and M-J Lai, ISBN 0-9728482-6-6, (2006) 456-483.
  2. Jianzhong Wang, Variational method and wavelet regression, Journal of Concrete and Applicable Mathematics: the special issue on ¡°Wavelets and Applications¡±, 4 (4) (2006) 485-504.
  3. D. Hong, J. Wang, and R. Gardner, ¡°Real analysis with an Introduction to Wavelets and Applications¡±, Elsevier Academic Press, 2005.
  4. R-Q. Jia, Jianzhong Wang, and D-X Zhou, Compactly supported wavelet bases for Sobolev spaces, Applied and Computational Harmonic Analysis 15 (2003) 224-241.
  5. C. K. Chui and Jianzhong Wang, Shannon wavelet approach to sub-band coding, International Journal of Wavelets, Multiresolution and Information Processing, 1 (2003) 233-242.
  6. Jianzhong Wang, Interpolating cubic spline wavelet packet on arbitrary partitions, J. of Comput. Anal. And Appl. 5 (2003) 179-193. ps-file
  7. Jianzhong Wang, Spline wavelets in numerical resolution of partial differential equations, in Wavelet Analysis and their Applications, D.Deng, D. Huang, R-Q. Jia, W. Lin, and J. Wang (eds.) 25 of AMS/IP Studies Advanced Mathematics, Series Editor: S. T. Yau, International Press, (2002) 257-277. ps-file
  8. Jianzhong Wang, On Linear Independence of Generators of FSI Distribution Spaces on R, in Approximation Theory X, Splines and Applications, C.K. Chui, L. L. Schumaker, and J. Stockler (eds.),  (2002) 453-472. ps-file
  9. Jianzhong Wang, A necessary and sufficient condition for a perfect filter bank, SPIE Proceedings, Vol. 3813 (1999) 682--690. ps-file
  10. D. Ruch, W. So, and Jianzhong Wang, Global support of a scaling vector, Applied and Computational Harmonic Analysis 5 (1998), 493--498. ps-file
  11. D. Ruch and Jianzhong Wang, Connection between the support and linear independence of refinable distributions, J. Approx. Theory 92 (1998), 472--485. ps-file
  12. Jianzhong Wang, Stability and linear independence associated with scaling vectors, SIAM Mathematical Analysis 29 (1998), 1140--1156. ps-file
  13. D. Eubank, P. Van Fleet and Jianzhong Wang, Moment computation in invariant spaces, Journal of Applied Mathematics and Stochastic Analysis 11 (1998), 465--479. ps-file
  14. Jianzhong Wang, Study of linear independence and accuracy of scaling vectors via two-scale factors, in ¡°Advances in Wavelets¡± ed. by K.S. Lau et al., Springer (1998) 229--260. ps-file
  15. C. K. Chui and Jianzhong Wang, A study of asymptotically optimal time-frequency windows of scaling functions and wavelets, Annals of Numerical Mathematics 4 (1997), 193--216. ps-file
  16. W. So and Jianzhong Wang, Estimating the support of a scaling vector,  SIAM J. Matrix Analysis and Applications 18 (1997), 66--73. ps-file
  17. W. Cai and Jianzhong Wang, Adaptive multiresolution collocation methods for initial boundary value problems of nonlinear PDE's, SIAM Journal of Numerical Analysis 33 (1996), 937--970. ps-file
  18. Jianzhong Wang, Cubic spline wavelet bases for Sobolev space and multilevel interpolation, Applied and Computational Harmonic Analysis 3 (1996), 154--163. ps-file
  19. C. K. Chui and Jianzhong Wang, High order orthonormal scaling functions and wavelets give poor time-frequency localization, Fourier analysis and applications 2 (1996), 415--426. ps-file
  20. Jianzhong Wang, Interpolating spline wavelet packets, in ¡°Approximation theory VIII, Vol 2.¡± ed. by C. K. Chui and L. L. Schumaker, (1995), 399¡ª406. ps-file
  21. Jianzhong Wang and Z. Zhang, On necessary and sufficient conditions for duals of wavelet frames, Acta Math Scientia 15 (1995), 6¡ª14.
  22. Jianzhong Wang, On solutions of two-scale difference equations, Chinese Ann. Math. (Series B) 15 (1994), 23--34.
  23. C. K. Chui and Jianzhong Wang, A study of compactly supported scaling functions and wavelets, in ¡°Curve and Surfaces II¡±, ed. by P. J. Laurent, A. Le Mehaute, and L. L. Schumaker, (1994), 121--140.
  24.  C. K. Chui and Jianzhong Wang, Quasi-interpolation functional on the space of EP splines,  J. Approx. Theory 76 (1994), 303--325.
  25. S. Xiao, Jianzhong Wang, and Y. Yang , Image mosaic and its boundary problems, Pattern Recognition and Artificial Intelligence 6 (1993), 198--195.
  26. Rong-Qing Jia and Jianzhong Wang, Stability and linear independence associated with wavelet decompositions, Proc. Amer. Math. Soc 117 (1993), 1115--1124. ps-file
  27. C. K. Chui and Jianzhong Wang, Computational and algorithmic aspects of cardinal spline wavelets, Approx. and Its Appl. 2 (1993), 53--75.
  28. C. K. Chui and Jianzhong Wang, An analysis of cardinal-spline wavelets, J. Approx. Theory 72 (1993), 54¡ª68.
  29. C. K. Chui and Jianzhong Wang, A general framework of compactly supported splines and wavelets, J. Approx. Theory 71 (1992), 263--304.
  30. C. K. Chui and Jianzhong Wang, On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc. 330 (1992), 903--916. ps-file
  31. C. K. Chui and Jianzhong Wang, A cardinal spline approach to wavelets, Proc. Amer. Math. Soc. 113 (1991), 785--793. ps-file
  32. Jianzhong Wang, Wavelet theory and its application to engineering and physics, Math. Advance 2 (1991).
  33. Jianzhong Wang, Approximation of Cauchy principal value integral by cubic spline,  Acta. Math. Scientia 1 (1991).
  34. Jianzhong Wang, A point-valued dual functional to the B-net basis, Math. Numer. Sinica 3(1991).
  35. Y. Chen and Jianzhong Wang, A remark on minimal support of bivariate polynomial splines, in ¡°Approximation Theory IV¡±, ed. by C. K. Chui, et al., (1989).
  36. Jianzhong Wang, The null splines of the quadratic box spline space, Applied Math. Journal of Chinese Univ. 1 (1988).
  37. Jianzhong Wang, Riemann problem with infinite many numbers of discontinuous points on real axis,  Acta. Math. Scientia 1 (1988).
  38. Jianzhong Wang, On Cauchy principal value integral in case of kernel with infinite many numbers of discontinuous points, Acta. Math. Scientia 3 (1987). 
  39. Jianzhong Wang, On dual basis of bivariate box splines, Approx. theory and Its Appl. 3 (1987).
  40. Jianzhong Wang, Biorthogonal functional of box splines, Math. Numer. Sinica 1(1986).
  41. Jianzhong Wang, Local quasi-interpolating operators reproducing polynomials, J. Math. At Wuhan  1 (1986).
  42. Jianzhong Wang, On multivariate splines interpolations, Chinese Ann. Math. (Series A) 2 (1986).
  43. Jianzhong Wang, Interpolation by bivariate splines on a three direction mesh, Numer. Math. Journal of Chinese Univ.  1 (1986).
  44. Jianzhong Wang, On coefficients of expansion in bivariate box splines, Chinese Ann. Math. 2 (1986).
  45. Jianzhong Wang, Representations of box splines by truncated powers, Math. Numer. Sinica 1 (1985).
  46. Jianzhong Wang, Exact estimates of remainders of Hermite interpolating splines--on conjuncture of Lipow and Schoenberg, J. Wuhan Univ. 4 (1985).
  47. Jianzhong Wang, Direct method of solution of singular integral equation with complex Hilbert kernel, J. Wuhan Univ. 1 (1984).
  48. D. Huang and Jianzhong Wang, The relation between the boundary condition and the convergence of interpolation splines, Acta. Math. Appl. Sinica 7(1984).
  49. D. Huang and Jianzhong Wang, The asymptotic expansions of quintic lacunary interpolation splines, Math. Numer. Sinica 2 (1984).
  50. Jianzhong Wang, On optimal error bounds for interpolating splines and corresponding linear width problems, J. Math. at Wuhan 4 (1984).
  51. D. Huang and Jianzhong Wang, Cubic L-spline interpolation at a bi-infinite knot sequence, J. Math. Research and Exposition 1 (1983).
  52. Jianzhong Wang, Lacunary polynomial splines with midpoint interpolation conditions, Chinese Ann. Math. (Series A) 4 (1983).
  53. D. Huang and Jianzhong Wang, Budan-Fourier theorem of $L$-spline and its application, Chinese Ann. Math. (Series A)  3 (1983).
  54. D. Huang and Jianzhong Wang, Inequality of Kolmogorov type bearing on self-conjugate differential operators, Acta. Math. Sinica 26 (1983).
  55. Jianzhong Wang, On optimal error bounds for interpolating splines, Scientia Sinica (Series A) 25 (1982).
  56. D. Huang and Jianzhong Wang, On quartic and quintic interpolating splines and their optimal error bounds, Scientia Sinica (Series A) 25(1982).
  57. Jianzhong Wang, Best simultaneous L1-approximations to n functions, Math. Numer. Sinica  1 (1982).
  58. Jianzhong Wang, Optimal error Lp bounds for polynomial interpolating splines, J. Zhejiang Univ. 4 (1982).
  59. Jianzhong Wang, Quartic lacunary polynomial spline, J. Zhejiang Univ. 1(1981).