双曲面区域的等谱性质  

The Isospectral Properties of Hyperbolic Domains

作　　者：欧阳良路 Ouyang Lianglu(College of Science,Chongqing University of Technology,Chongqing,China)

机构地区：[1]重庆理工大学理学院,重庆

出　　处：《科学技术创新》2023年第11期54-57,共4页Scientific and Technological Innovation

摘　　要：利用热核展开,本文研究了双曲面H2上具有分段光滑、Lipschitz边界的紧区域的等谱性质,并且计算了H2上带广义角的区域的热迹的渐近展开式。主要结论是,证明了H2上区域边界的广义角的存在性是谱不变量。Let H2 be the hyperbolic plane.Using the heat kernel expansion,this paper studies the isospectral properties of compact domains with piecewise smooth Lipschitz boundary in H2,and calculates the asymptotic expansion of the heat trace associated to domains with generalized corners in H2.The main result is that the existence of generalized corners is spectral invariant in H2.

关 键 词：热核的渐近展开 Laplace算子的谱 谱不变量 广义角 

分 类 号：O186.12[理学—数学]