Heat Kernels of Lorentz Cones

Canadian mathematical bulletin

关键词: Lorentz cone;    symmetric cone;    Jordan algebra;    heat kernel;    heat equation;    Laplace-Beltrami operator;    eigenvalues;   

DOI  :  10.4153/CMB-1999-020-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We obtain an explicit formula for heat kernels of Lorentz cones, afamily of classical symmetric cones. By this formula, the heatkernel of a Lorentz cone is expressed by a function of time $t$ andtwo eigenvalues of an element in the cone. We obtain also upper andlower bounds for the heat kernels of Lorentz cones.

【 授权许可】

Unknown