摘要: This paper deals with the order of magnitude of the partial sums of the spherical harmonic series and its convergence rate in Bessel potential spaces. The partial results obtained in the paper are the analogue of those on the circle.
李落清, 杨汝月. ALMOST EVERYWHERE CONVERGENCE AND APPROXIMATION OF SPHERICAL HARMONIC EXPANSIONS[J]. 数学物理学报(英文版), 1995, 15(S1): 109-122.
Li Luoqing, Yang Ruyue. ALMOST EVERYWHERE CONVERGENCE AND APPROXIMATION OF SPHERICAL HARMONIC EXPANSIONS[J]. Acta mathematica scientia,Series B, 1995, 15(S1): 109-122.