Feng Dai

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math.CA2005

Characterizations of function spaces on the sphere using frames

Feng Dai

In this paper we introduce a polynomial frame on the unit sphere $\sph$ of $R^{d}$ , for which every distribution has a wavelet-type decomposition. More importantly, we prove…

math.CA2005

Approximation of smooth functions on compact two-point homogeneous spaces

Gavin Brown, Feng Dai

Estimates of Kolmogorov $n$ -widths $d_{n} (B_{p}^{r}, L^{q})$ and linear $n$ -widths $\da_n(B_p^r, L^q)$, ( $1 \leq q \leq \infty$ ) of Sobolev's classes $B_{p}^{r}$ , ( $r > 0$ , $1 \leq p \leq \infty$ ) o…