简介:让Sq-1,q≥2,联合起来的范围的表面在欧几里德几何学的spaceRq,f(x)∈Lp(Sq-1),f(x)≥0,f吗?0,1≤p≤+∞。然后,它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f,吗δ)Lp=sup_(0性ofmoduli‖S_t(f)-f‖Lp>
On Approximation by Reciprocals of Spherical Harmonics in L^p Norm