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Trace of heat kernel,spectral zeta function and isospectral problem for sub-laplacians
Authors:Der-Chen Chang  Sai-Kee Yeung
Institution:1.Department of Mathematics,Georgetown University,Washington D.C.,USA;2.Department of Mathematics,Purdue University,West Lafayette,USA
Abstract: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 paper, we discuss an isospectral problem in the CR setting.
Keywords:
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