关于L^2情形的Fourier—Laplace展式的几乎处处收敛的一点注记

A NOTE ON A.E. CONVERGENCE OFFOURIER - LAPLACE SERIES IN L^2

设为中单位球面．对于，记为其Ｆｏｙｒｕｅｒ－Ｌａｐｌａｃｅ展式的部分和，为其ｒ阶连续模，证明了当时，在球面上几乎处处成立．

Let be the unit sphere in Rn. For denoto by (x) the partialsun of its Fourier-Laplace expansion and by wr(f, t), its rth modulus of smoothness Ifthe result that lim is proved.