Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (S1): 109-122.

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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.

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

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