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Heat Kernels of Lorentz Cones
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1999
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