Geodesic
Heat Kernels of Lorentz Cones
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 169-173

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DOI

We obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of time $t$ and two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
DOI : 10.4153/CMB-1999-020-2
Mots-clés : 35K05, 43A85, 35K15, 80A20, Lorentz cone, symmetric cone, Jordan algebra, heat kernel, heat equation, Laplace-Beltrami operator, eigenvalues 
Ding, Hongming. Heat Kernels of Lorentz Cones. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 169-173. doi: 10.4153/CMB-1999-020-2
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     title = {Heat {Kernels} of {Lorentz} {Cones}},
     journal = {Canadian mathematical bulletin},
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     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-020-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-020-2/}
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