1. Neural networks for optimal approximation of smooth and analytic functions; Neural Computation, {\bf 8} (1996), 164-177.  pdf  ps
2. Neural networks for functional approximation and system identification; Neural Computation, {\bf 9} (1997), 143--159. (With N. Hahm) pdf  ps
3. On Marcinkiewicz-Zygmund-Type Inequalities;  in ``Approximation theory: in memory of A. K. Varma'', (N. K. Govil, R. N. Mohapatra, Z. Nashed, A. Sharma, and J. Szabados Eds.), Marcel Dekker 1998, pp.389--404. (With J. Prestin) pdf  ps
4. Polynomial frames for the detection of singularities; in  ``Wavelet Analysis and Multiresolution Methods'' (Ed. Tian-Xiao He), Lecture Notes in Pure and Applied Mathematics, Vol. 212, Marcel Decker, 2000, 273--298. (With J. Prestin).  pdf  ps
5. On a sequence of fast decreasing polynomials; in ``Applications and computation of orthogonal polynomials'' (W. Gautschi, G. Golub, M. Opfer Eds.), Internat. Ser. Numer. Math. Vol. 131, Birkhäuser, Basel, 1999, 165-178. (With J. Prestin). pdf  ps
6. On the detection of singularities of a periodic function; Advances in Computational Mathematics, {\bf 12} (2000), 95--131  (With J. Prestin). pdf  ps
7. Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comp. {\bf 70} (2001), no. 235, 1113--1130.  (With F. J. Narcowich and J. D. Ward). (Corrigendum: Math. Comp. {\bf 71} (2001), 453--454.) (In some publications, referred to as:
   Quadrature formulas on spheres using scattered data) pdf  ps
8. Approximation properties of zonal function networks using scattered data on the sphere; Advances in Computational Mathematics, {\bf 11} (1999), 121--137. (With F. J. Narcowich and J. D. Ward) pdf  ps
9. Polynomial frames on the sphere; Adv. Comput. Math. 13 (2000), no. 4, 387--403.  (With F. J. Narcowich, J. Prestin, and J. D. Ward). pdf  ps
10. Zonal function network frames on the sphere;  Neural Networks, {\bf 16}(2) (2003), 183--203 (With F. J. Narcowich and J. D. Ward). pdf  ps
11. Approximation theory and neural networks; in  "Wavelet Analysis and Applications, Proceedings of the international workshop in Delhi, 1999" (P. K. Jain, M. Krishnan, H. N. Mhaskar J. Prestin, and D. Singh Eds.), Narosa Publishing, New Delhi, India, 2001, 247--289. pdf  ps
12. On the representation of band limited functions using finitely many bits;  Journal of Complexity, {\bf 18} (2002), no. 2, 449--478. pdf  ps
13. On the degree of approximation in multivariate weighted approximation;  in ``Advanced Problems in Constructive Approximation'' (Proceedings of the IDOMAT 2001 conference) (M.D. Buhmann  and D.H. Mache  Eds.), ISNM {\bf 142}, Birkh\"auser, Basel, 2002, pp.129--141. pdf  ps
14. On the representation of band-dominant functions on the sphere
    using finitely many bits;  Advances in Computational Mathematics, {\bf 21} (2004), 127--146. (With F. J. Narcowich and J. D. Ward). pdf  ps
15. When is approximation by Gaussian networks necessarily a linear process?; Neural Networks, {\bf 17} (2004), 989--1001.
     pdf  ps
16. Local quadrature formulas on the sphere; Journal of Complexity, {\bf 20} (2004), 753--772. pdf  ps
17. On the tractability of multivariate integration and approximation by neural networks; Journal of Complexity, {\bf 20} (2004), 561--590. pdf  ps
18. Local quadrature formulas on the sphere, II; in ``Advances in Constructive Approximation'' (M. Neamtu and E. B. Saff  eds), Nashboro Press, Nashville, 2004, pp. 333--344. pdf  ps
19. On local smoothness classes of periodic functions; Journal of Fourier Analysis and Applications, {\bf 11} (3) (2005), 353 - 373  (with J. Prestin). pdf  ps
20. Polynomial operators and local smoothness classes on the unit interval; Journal of Approximation Theory, {\bf 131}(2004),  243-267. pdf  ps
21. On the representation of smooth functions on the sphere using finitely many bits; Applied and Computational Harmonic Analysis
    {\bf 18}, Issue 3 , May 2005, Pages 215-233. pdf  ps
22. A Markov--Bernstein inequality for Gaussian networks; in ``Trends and applications in constructive approximation'' (M. G. de Bruin, D. H. Mache, and J. Szabados eds.), ISNM {\bf 105}, Birkh\"auser Verlag, Bassel, 2005, pp. 165--180.  pdf  ps
23. Polynomial frames: a fast tour; in ``Approximation Theory XI, Gatlinburg, 2004'' (C. K. Chui, M. Neamtu, and L. Schumaker Eds.), Nashboro Press, Brentwood, 2005, 287--318 (With J. Prestin). pdf  ps
24. On quasi--interpolatory polynomial operators; in ``Frontiers in interpolation and approximation'' (N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed, and J. Szabados eds.), Chapman and Hall/CRC, Boca Raton,  2006, pp. 345--364 (Invited paper). pdf ps
    
25. Polynomial operators and local approximation of solutions of pseudo-differential operators on the sphere; Numerische Mathematik, {\bf 103} (2006), 299--322 (with Q. T. Le Gia) pdf ps
26. Matrix--free interpolation on the sphere; SIAM J. Numer. Analysis {\bf 44} (3) (2006), pp. 1314--1331 (With M. Ganesh) pdf ps
27. Quadrature--free quasi--interpolation on the sphere; Electronic Transactions on Numerical Analysis,{\bf 25} (2006), 101--114 (With M. Ganesh) pdf ps
28. Weighted quadrature formulas and approximation by zonal function networks on the sphere; Journal of Complexity Theory, {\bf 22} (3), June 2006, 348--370.
    pdf ps
29. Quadrature in Besov spaces on the Euclidean sphere; Accepted for publication in Journal of Complexity (With K. Hesse and I. H. Sloan) pdf
30. Quadrature formulas and localized linear polynomial operators  on the sphere; Submitted for publication. (With Q. T. Le Gia) pdf
31. Polynomial diffusion multiscale on metric measure spaces; Accepted for publication in Appl. Comput. Harm. Anal. (With M. Maggioni). pdf
32. Polynomial operators for spectral approximation of piecewise analytic functions; Submitted for publication (With J. Prestin) pdf