%XUY2011
% carl 25mar11
\rhl{X}
\refR XU, Yuan;
Minimal cubature rules and polynomial interpolation in two variables;
\newline{\tt arXiv:1102.0055}, feb.; 2011;

%XieLS1995a
% carl 20feb96
\rhl{X}
\refJ Xie, Linsen;
Uniform approximation by combinations of Bernstein polynomials;
\JATA; 11(3); 1995; 22--35;

%XieSQ1984
% sonya
\rhl{X}
\refJ Xie,  S. Q.;
Quadratic spline interpolation;
\JAT; 40; 1984;  66--80;

%XieTFZhou1994a
% carl
\rhl{X}
\refJ Xie, T. F., Zhou, S. P.;
Simultaneous approximation to a differentiable function and its derivatives by
   Lagrange interpolating polynomials;
\JATA; 10(4); 1994; 100--109;

%XieZhangZhou1998
% carl 26aug98
\rhl{X}
\refJ Xie, Tingfan, Zhang, Ren Jiang, Zhou, Songping;
Three conjectures on Shepard interpolatory operators;
\JAT; 93(3); 1998; 399--414;

%XieZhou1993
% shayne 26aug98
\rhl{X}
\refJ Xie, T. F., Zhou, S. P.;
A note on approximation by Bernstein polynomials;
\JMAA; 179; 1993; 309--316;

%Xiong1980
\rhl{X}
\refJ Xiong,  Zhen-xiang;
Splines of $(2n+1)$-th degree with coefficients expressed by even-order 
derivatives (Chinese); 
Math.\  Numer.\  Sinica; 2; 1980;  69--76;

%Xiong1983
\rhl{X}
\refJ Xiong,  Zhen-xiang;
A construction of convexity preserving cubic splines (Chinese);
Math.\  Numer.\  Sinica; 5; 1983;  1--16;

%Xiong1989
% carl
\rhl{X}
\refP Xiong,  Zhen-xiang;
Multivariate interpolating polynomials;
\TexasVI; 679--682;

%Xiong1992
% carl
\rhl{X}
\refJ Xiong,  Zhenxiang;
Bivariate interpolating polynomials and splines (I);
\JATA; 8(2); 1992; 49--66;

%XiongCuiLi1989
\rhl{X}
\refR Xiong,  Z.-X., Cui, D.-Y., Li, X.-Y.;
Multivariate interpolating polynomials and splines;
Beijing Univ.\ of Aeronautics \& Astronautics; xxx;

%Xu1998
% carl 22may98
\rhl{X}
\refJ Xu, Yuan;
Orthogonal polynomials and cubature formule on spheres and on balls;
\SJMA; 29(3); 1998; 779--793;

%Xu1999a
% author 16aug02
\rhl{X}
\refJ Xu, Yuan;
Cubature formulae and polynomial ideals;
\AiAM; 23; 1999; 211--233;
% see Xu00a for improved version

%Xu2000a
% author 16aug02
\rhl{X}
\refJ Xu, Yuan;
Polynomial interpolation in several variables, cubature formulae, and ideals;
\AiCM; 12; 2000; 363--376;
% see Xu99a
% if G subset Pi(Rd) is a finite collection of polynomials orthogonal to 
% Pi_{<2n}, and the variety V of I:=ideal(G) is real and simple, hence #V =
% codim I, then there is a quadrature formula of degree 2n-1 based on V.
% Moreover, the normal space for the ideal, i.e., span(LT(Pi) \ LT(I)),
% is correct for interpolation to data on V .

%Xu2005
% shayne 03apr06
\rhl{}
\refJ Xu, Yuan;
Monomial orthogonal polynomials of several variables;
\JAT; 133; 2005; 1--37;

%Xu2006
% author 03apr06
\rhl{}
\refJ Xu, Yuan;
A new approach to the reconstruction of images from Radon projections;
\AiAM; xx; 200x; xxx--xxx;
% http://arXiv.org/abs/math/0510319

%XuLZYang1987
\rhl{X}
\refJ Xu,  Li Zhi, Yang, Jia Xin;
A survey of recent developments in multivariate approximation;
Advances in Mathematics (Chinese). Shuxue Jinzhan; 16; 1987; 241--249;

%XuSY1979
\rhl{X}
\refJ Xu,  S. Y.;
The convergence of cubic spline interpolants (Chinese);
Acta Math.\ Appl.\ Sinica; 2; 1979;  231--235;

%XuSY1981
\rhl{X}
\refJ Xu,  S. Y.;
Operator norm estimates for interpolating
  splines (Chinese);
Yingyong Shuxu yu Jisuan Shuxue; 6; 1981;  1--6;

%XuSY1981b
\rhl{X}
\refJ Xu,  S. Y.;
Convergence of periodic quadratic spline
  interpolants (Chinese);
Numer.\ Math.\ Sinica; 3; 1981;  188--191;

%XuSY1981c
\rhl{X}
\refJ Xu,  S. Y.;
Remarks on periodic spline interpolation (Chinese);
Yiugyong Shuxue yu Jisuan Shuxue; 6; 1981;  1--6;

%XuSY1983
\rhl{X}
\refJ Xu,  S. Y.;
Degree of approximation by interpolatory cubic splines (Chinese);
Math.\ Numer.\ Sinica; 5; 1983;  225--229;

%XuY1992a
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
Gaussian cubature and bivariate polynomial interpolation;
\MC; 59(200); 1992; 547--555;
% common zeros of quasi-orthogonal polynomials.

%XuY1993a
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
On multivariate orthogonal polynomials;
\SJMA; 24(3); 1993; 783--794;

%XuY1993b
% carl
\rhl{X}
\refJ Xu, Yuan;
Mean convergence of generalized Jacobi series and interpolating polynomials, I;
\JAT; 72; 1993; 237--251;

%XuY1994a
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
Recurrence formulas for multivariate orthogonal polynomials;
\MC; 62(206); 1994; 687--702;

%XuY1994b
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
A characterization of positive quadrature formulae;
\MC; 62(206); 1994; 703--718;

%XuY1994c
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
On zeros of multivariate quasi-orthogonal polynomials and Gaussian cubature
formulae;
\SJMA; 25(3); 1994; 991--1001;

%XuY1994d
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
Multivariate orthogonal polynomials and operator theory;
\TAMS; 343(1); 1994; 193--202;

%XuY1994e
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
A class of bivariate orthogonal polynomials and cubature formula;
\NM; 69(2); 1994; 233--241;
% looking for enough common zeros in the polynomials orthogonal wrto a given
% measure

%XuY1994f
% carl 23may95
\rhl{X}
\refJ Xu, Yuan;
Mean convergence of generalized Jacobi series and interpolating polynomials, II;
\JAT; 76(1); 1994; 77--92;

%XuY1995
% author 12mar97
\rhl{X}
\refB Xu, Yuan;
Common zeros of polynomials in several variables and higher dimensional
   quadrature;
Pitman Research Notes in Mathematics, Longman (Essex); 1995;
% multivariate orthogonal polynomials

%XuY1996
% author 12mar97
\rhl{X}
\refJ Xu, Yuan;
Lagrange interpolation in Chebyshev points of two variables;
\JAT; 87(2); 1996; 220--238;
% example of bivariate polynomial interpolation on the square with the
% optimal growth $O((\log n)^2$ of the Lebesgue constant; however, 
% interpolation space is strictly between $\Pi_n$ and $\Pi_{n-1}$.

%XuY1998
% carl 21jan02
\rhl{}
\refJ Xu, Yuan;
Orthogonal polynomials and cubature formulae on spheres and balls;
\SJMA; 29(3); 1998; 779--793;

%XuY2001
% carl 21jan02
\rhl{}
\refJ Xu, Yuan;
Orthogonal polynomials on the ball and the simplex for weight functions with
   reflection symmetries;
\CA; 17; 2001; 383--412;

%XuY2001
% carl 21jan02
\rhl{}
\refJ Xu, Y.;
Orthogonal polynomials on the ball and the simplex for weight functions with
   reflection symmetries;
\CA; 17(3); 2001; 383--412;

%XuY2003
% carl 20nov03
\rhl{}
\refJ Xu, Yuan;
Polynomial interpolation on the unit sphere;
\SJNA; 41(2); 200x; 751--766;

%XuYCheney1992
% . 23may95
\rhl{X}
\refJ Xu, Yuan, Cheney, E. W.;
Strictly positive definite functions on spheres;
\PAMS; 116; 1992; 977--981;

%XuYLightCheney1992
\rhl{X}
\refQ Xu, Yuan, Light, W. A., Cheney, E. W.;
On kernels and approximation orders; 
(Approximation Theory),  G. Anastassious (ed.), 
Marcel Dekker (New York); 1992; 227--242;

%XuYLightCheney1993
% sherm, journal reference provided 23may95
\rhl{X}
\refJ Xu,  Yuan, Light, W. A., Cheney, E. W.;
Constructive methods of approximation
by ridge functions and radial functions; 
\NA; 4; 1993; 205--223;