数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (S1): 109-122.

• Articles • 上一篇    下一篇

ALMOST EVERYWHERE CONVERGENCE AND APPROXIMATION OF SPHERICAL HARMONIC EXPANSIONS

李落清1, 杨汝月2   

  1. 1. Department of Mathematics, Hubei university, Wuhan 430062, China;
    2. Department of Mathematics, Ningxia university, Yinchuan 750021, China
  • 收稿日期:1993-01-01 出版日期:1995-12-31 发布日期:1995-12-31
  • 基金资助:
    Project supported by NNSFC.

ALMOST EVERYWHERE CONVERGENCE AND APPROXIMATION OF SPHERICAL HARMONIC EXPANSIONS

Li Luoqing1, Yang Ruyue2   

  1. 1. Department of Mathematics, Hubei university, Wuhan 430062, China;
    2. Department of Mathematics, Ningxia university, Yinchuan 750021, China
  • Received:1993-01-01 Online:1995-12-31 Published:1995-12-31
  • Supported by:
    Project supported by NNSFC.

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.

关键词: Spherical harmonic series, Partial sum, Convergence, Approximation

Abstract: 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.

Key words: Spherical harmonic series, Partial sum, Convergence, Approximation