S^3亚椭圆算子的谱

THE SPECTRUM OF SUBELLIPTIC OPERATORS ON S^3

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摘要本文研究了与紧流形S3上的与Hopf纤维丛相联系的亚椭圆算子的谱.利用球调和函数的直和分解,得到了亚椭圆算子的谱和每个特征值所对应的特征空间及其维数. In this paper, we study the spectrum of the subelliptic operator based on the Hopf fibration on the sphere of dimension 3. By means of the direct decomposition of spherical harmonic function, the spectrum and the dimension of all the eigen-spaces are obtained.

作者彭小春陈文艺

机构地区武汉大学数学与统计学院

出处《数学杂志》 CSCD 北大核心 2009年第3期297-299,共3页 Journal of Mathematics

关键词 Hopf纤维丛亚椭圆算子球调和函数谱 Hopf fibration subelliptie operator spherical harmonic funetion spectrum

分类号 O175.3 [理学—基础数学]

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S^3亚椭圆算子的谱

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