摘要
经典 Fourier分析中一个熟知而重要的结果是 Lipα类上的 Fourier级数是绝对收敛的 .本文将这一结果推广到单位球面上的 Fourier- Laplace展开中 ,讨论了由球面平移算子所确定的
It is a well-know fact that the Fourier series ∑ n=∞ n=-∞ a ne inx of a function f on a torus T is absolutely convergent,i.e,∑ ∞ n=-∞ |a n|<∞,if f belongs to Lip α.This result can be extended in several directions.The present paper investigates the absolutely convergence for Fourier-Laplace series of the functions belonging to some smoothing functions class given on the unit sphere and defined k-th order difference with step t along a geodesic emanating from μ∈Ω n,averaged over such geodesics.\;
出处
《现代电力》
2001年第3期99-103,共5页
Modern Electric Power
基金
国家自然科学基金资助项目 (197710 0 9)
