Publications of Rong-Qing Jia

1996-2000

• R. Q. Jia, The subdivision and transition operators associated with a refinement equation, in Advanced Topics in Multivariate Approximation (F. Fontanella, K. Jetter and P. J. Laurent eds.), World Scientific Publishing Co., Inc. (1996), pp. 139--154.
• R. Q. Jia, Perturbation of polynomial ideals, Advances in Applied Mathematics 17 (1996), 308--336.
• R. Q. Jia, Shift-invariant spaces on the real line, Proceedings of the American Mathematical Society 125 (1997), 785--793.
• R. Q. Jia, Symmetric magic squares and multivariate splines, Linear Algebra and Appl. 250 (1997), 69--103.
• J. J. Lei, R. Q. Jia, and E. W. Cheney, Approximation from shift-invariant spaces by integral operators, SIAM J. Math. Anal. 28 (1997), 481--498.
• R. Q. Jia, Partition of unity and density: a counterexample, Constr. Approx. 13 (1997), 251--260.
• R. Q. Jia, S. D. Riemenschneider and D. X. Zhou, Approximation by multiple refinable functions, Canadian J. Math. 49 (1997), 944--962.
• R. Q. Jia, Shift-invariant spaces and linear operator equations, Israel Journal of Mathematics 103 (1998), 259--288.
• R. Q. Jia, S. L. Lee and A. Sharma, Spectral properties of continuous refinement operators, Proc. Amer. Math. Soc. 126 (1998), 729-737.
• R. Q. Jia, Approximation properties of multivariate wavelets, Mathematics of Computation 67 (1998), 647--665.
• B. Han and R. Q. Jia, Multivariate refinement equations and convergence of subdivision schemes, SIAM J. Math. Anal. 29 (1998), 1177--1199.
• R. Q. Jia, S. D. Riemenschneider and D. X. Zhou, Vector subdivision schemes and multiple wavelets, Math. Comp. 67 (1998), 1533--1563.
• T. N. T. Goodman, R. Q. Jia and C. A. Micchelli, On the spectral radius of a bi-infinite periodic and slant matrix, Southeast Asian Bull. Math. 22 (1998), 115--134.
• R. Q. Jia, Stability of the shifts of a finite number of functions, J. Approx. Theory 95 (1998), 194--202.
• R. Q. Jia, Convergence of vector subdivision schemes and construction of biorthogonal multiple wavelets, in Advances in Wavelets (K. S. Lau ed.), Springer-Verlag (1998), pp. 189--216.
• B. Han and R. Q. Jia, Optimal interpolatory subdivision schemes in multidimensional spaces, SIAM J. Numer. Anal. 36 (1999), 105--124.
• R. Q. Jia and S. R. Zhang, Spectral properties of the transition operator associated to a multivariate refinement equation, Linear Algebra and Appl. 292 (1999), 155--178.
• R. Q. Jia, Characterization of Smoothness of multivariate refinable functions in Sobolev spaces, Trans. Amer. Math. Soc. 351 (1999), 4089--4112.
• R. Q. Jia, S. D. Riemenschneider and D. X. Zhou, Smoothness of multiple refinable functions and multiple wavelets, SIAM J. Matrix Anal. Appl. 21 (1999), 1--28.
• R. Q. Jia and D. X. Zhou, Convergence of subdivision schemes associated with nonnegative masks, SIAM J. Matrix Anal. Appl. 21 (1999), 418--430.
• W. Dahmen, B. Han, R. Q. Jia, and A. Kunoth, Biorthogonal multiwavelets on the interval: cubic Hermite splines, Constructive Approximation 16 (2000), 221--259.
• R. Q. Jia, Interpolatory subdivision schemes induced by box splines, Applied and Computational Harmonic Analysis 8 (2000), 286--292.
• T. N. T. Goodman, R. Q. Jia and D. X. Zhou, Local linear independence of refinable vectors of functions, Proceedings of Royal Society of Edinburgh 130 A (2000), 813--826.
• R. Q. Jia, Q. T. Jiang and Z. W. Shen, Distributional Solutions of nonhomogeneous discrete and continuous refinement equations, SIAM J. Math. Anal. 32 (2000), 420--434.