## Feng Dai |
Associate Professor Department of Mathematical and Statistical Sciences University of Alberta Edmonton, AB, T6G 2G1, CANADA Tel: +1 780 492 0218 E-mail: |

- Harmonic analysis and approximation theory.
- Orthogonal polynomial expansions on the sphere, the ball and the simplex.
- N-widths, optimal recovery, nonlinear m-term approximation, and compressed sensing.
- Weighted polynomial inequalities, moduli of smoothness, and K-functionals.
- Spherical harmonics, spherical wavelet frames, and radial basis functions.

- Journal of Approximation Theory.

- NSERC Research Grant of Canada: April 2010--March 2015.
- NSERC Research Grant of Canada: April 2005--March 2010.
- University of Alberta Startup Fund: July 2004--March 2007.

- Feng Dai, and Heping Wang,
**A transference theorem for the Dunkl transform and its applications**, Journal of Functional Analysis**258**(2010), no. 12, 4052-4074. PDF -
Feng Dai, and Yuan Xu,
**Moduli of smoothness and approximation on the unit sphere and the unit ball**, Advances in Mathematics**224**(2010), no. 4, 1233-1310. PDF -
Feng Dai, Z. Ditzian, and Hongwei Huang,
**Equivalence of measures of smoothness in Lp(S^{d-1})**, Studia Mathematica**196**(2010), 179-205. - Feng Dai, and Heping Wang,
**Positive cubature formulas and Marcinkiewicz--Zygmund inequalities on spherical caps**, Constructive Approximation**31**(2010), no. 1, 1-36. PDF - F. Dai, Hongwei Huang, Kunyang Wang,
**Approximation by Bernstein-Durrmeyer operator on a simplex**, Constructive Approximation**31**(2010), no. 3, 289-308. PDF - F. Dai, Yuan Xu,
**Boundedness of projection operators and Cesaro means in weighted L^p space on the unit sphere**, Transactions of the American Mathematical Society**361**(2009), 3189-3221. PDF - F. Dai, Yuan Xu,
**Cesaro means of orthogonal expansions in several variables**, Constructive Approximation**29**(2009), no. 1, 129--155. PDF -
Feng Dai and Yuan Xu,
**Maximal function and multiplier theorem for weighted space on the unit sphere**, Journal of Functional Analysis**249**(2007), no. 2, 477--504. PDF -
F. Dai, Z. Ditzian,
**Jackson inequality for Banach spaces on the sphere**, Acta Mathematica Hungarica**118**, (2008), 171--195. PDF - F. Dai,
**Characterizations of function spaces on the sphere using spherical frames**, Transactions of the American Mathematical Society**359**(2007), 567-589. PDF - F. Dai,
**Multivariate polynomial inequalities with respect to doubling weights and A_\infty weights**, Journal of Functional Analysis**235**(1) (2006), 137--170. PDF - F. Dai,
**An extrapolation theorem for nonlinear approximation and its applications**, Journal of Approximation theory**143**(2)(2006), 135--149. PDF - G. Brown, F. Dai,
**Approximation of smooth functions on compact two-point homogeneous spaces**, Journal of Functional Analysis**220**(2005), 401--423. PDF - F. Dai,
**Strong convergence of spherical harmonic expansions on $H\sp 1(S\sp {d-1})$**, Constructive Approximation**22**(2005), no. 3, 417--436. PDF -
F. Dai, Z. Ditzian,
**Combinations of multivariate averages**, Journal of Approximation theory**131**(2004), no. 2, 268--283. PDF

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