Publications of Rong-Qing Jia

1991-1995

• R. Q. Jia, A characterization of the approximation order of translation invariant spaces of functions, Proc. Amer. Math. Soc. 111 (1991), 61--70.
• W. Dahmen, R. Q. Jia and C. A. Micchelli, On linear dependence relations for integer translates of compactly supported distributions, Math. Nachr. 151 (1991), 303--310.
• D. P. Dryanov, R. Q. Jia and A. Sharma, Quadrature formulae with Birkhoff type data on equidistant nodes for $2\pi$-periodic functions, in Progress in Approximation Theory (1991), 243--261.
• R. Q. Jia and J. J. Lei, Approximation by piecewise exponentials, SIAM J. Math. Anal. 22 (1991), 1776--1789.
• R. Q. Jia and A. Sharma, Solvability of some multivariate interpolation problems, J. reine angew. Math. 421 (1991), 73--81.
• R. Q. Jia and C. A. Micchelli, Using the refinement equations for the construction of pre-wavelets II: Powers of two, in Curves and Surfaces (P. J. Laurent, A. Le Mehaute and L. L. Schumaker eds.), Academic Press, New York (1991), pp. 209--246.
• R. Q. Jia, S. D. Riemenschneider and Z. W. Shen, Dimension of kernels of linear operators, Amer. J. Math. 114 (1992), 157--184.
• R. Q. Jia and C. A. Micchelli, Using the refinement equations for the construction of pre-wavelets V: Extensibility of trigonometric polynomials, Computing 48 (1992), 61--72.
• R. Q. Jia and C. A. Micchelli, On linear independence of integer translates of a finite number of functions, Proc. Edinburgh Math. Soc. 36 (1992), 69--85.
• R. Q. Jia, Approximation by multivariate splines: an application of Boolean methods, in Numerical Methods of Approximation Theory, Vol. 9 (D. Braess and L. L. Schumaker eds.), Birkhauser Verlag, Basel (1992), pp. 117--134.
• R. Q. Jia and J. J. Lei, Approximation by multiinteger translates of functions having global support, J. Approx. Theory 72 (1993), 2--23.
• C. de Boor and R. Q. Jia, A sharp upper bound on the approximation order of smooth bivariate pp functions, J. Approx. Theory 72 (1993), 24--33.
• R. Q. Jia, Multivariate Discrete splines and linear Diophantine equations, Trans. Amer. Math. Soc. 340 (1993), 179--198.
• R. Q. Jia and J. Z. Wang, Stability and linear independence associated with wavelet decompositions, Proc. Amer. Math. Soc. 117 (1993), 1115--1124.
• R. Q. Jia, A dual basis for the integer translates of an exponential box spline, Rocky Mountain J. Math 23 (1993), 223--242.
• R. Q. Jia and J. J. Lei, A new version of the Strang-Fix conditions, J. Approx. Theory 74 (1993), 221--225.
• R. Q. Jia, A Bernstein type inequality associated with wavelet decomposition, Constr. Approx. 9 (1993), 299--318.
• R. Q. Jia, S. D. Riemenschneider and Z. W. Shen, Solvability of systems of linear operator equations, Proc. Amer. Math. Soc. 120 (1994), 815--824.
• R. Q. Jia and Z. W. Shen, Multiresolution and wavelets, Proc. Edinburgh Math. Soc. 37 (1994), 271--300.
• R. Q. Jia, Multiresolution of $L_p$ spaces, J. Math. Anal. Appl. 184 (1994), 620--639.
• R. Q. Jia, The Toeplitz theorem and its applications to Approximation Theory and linear PDE's, Trans. Amer. Math. Soc. 347 (1995), 2585--2594.
• C. K. Chui, D. Hong and R. Q. Jia, Stability of optimal-order approximation by bivariate splines over arbitrary triangulations, Trans. Amer. Math. Soc. 347 (1995), 3301--3318.
• R. Q. Jia, Subdivision schemes in $L_p$ spaces, Advances in Comp. Math. 3 (1995), 309--341.
• R. Q. Jia, Refinable shift-invariant spaces: from splines to wavelets, in Approximation Theory VIII, Vol. 2 (C. K. Chui and L. L. Schumaker eds.), World Scientific Publishing Co., Inc. (1995), pp. 179--208.
• R. Q. Jia, Total positivity and nonlinear analysis, in Total Positivity and its Applications (M. Gasca and C. A. Micchelli eds.), Kluwer Academic Publishers (1995), pp. 403--427.