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SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS
作者姓名:F. BRACKX  R. DELANGHE  F. SOMMEN
作者单位:Department of Mathematical Analysis,Ghent University,B-9000 Gent,Belgium.,Department of Mathematical Analysis,Ghent University,B-9000 Gent,Belgium.,Department of Mathematical Analysis,Ghent University,B-9000 Gent,Belgium.
摘    要:New higher dimensional distributions are introduced in the framework of Clifford analysis. They complete the picture already established in previous work, offering unity and structural clarity. Amongst them are the building blocks of the principal value distribution, involving spherical harmonics, considered by Horvath and Stein.

关 键 词:卷积算子  球面均值  分布  Clifford分析  Clifford代数  正则函数  复变量
收稿时间:1/3/2001 12:00:00 AM

SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS
F. BRACKX,R. DELANGHE,F. SOMMEN.SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS[J].Chinese Annals of Mathematics,Series B,2003,24(2):133-146.
Authors:F BRACKX  R DELANGHE and F SOMMEN
Institution:Department of Mathematical Analysis, Ghent University, B-9000 Gent, Belgium.
Abstract:New higher dimensional distributions are introduced in the framework of Clifford analysis. They complete the picture already established in previous work, offering unity and structural clarity. Amongst them are the building blocks of the principal value distribution, involving spherical harmonics, considered by Horvath and Stein.
Keywords:Spherical means  Distributions  Convolution operators  Clifford analysis
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