Trace of heat kernel,spectral zeta function and isospectral problem for sub-laplacians

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：boypoe

【摘要】

：

In this article,we first study the trace for the heat kernel for the sub-Laplacian operator on the unit sphere in C n+1.Then we survey some results on the spect

【作者】

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CHANG Der-Chen YEUNG Sai-Kee

【机构】

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DepartmentofMathematics,DepartmentofMathematics

【出处】

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中国科学：数学英文版

【发表日期】

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2009年12期

【关键词】

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SUB-LAPLACIAN heat kernel CR-isospectral problem RIEMANNIAN ZETA function Mellin

【基金项目】

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supported by National Security Agency,United States Army Research Offfice and a Hong Kong RGC Competitive Earmarked Research (Grant No. 600607)

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In this article,we first study the trace for the heat kernel for the sub-Laplacian operator on the unit sphere in C n+1.Then we survey some results on the spectral zeta function which is induced by the trace of the heat kernel.In the second part of the pa

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Trace of heat kernel,spectral zeta function and isospectral problem for sub-laplacians

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