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Heat Kernels of Lorentz Cones

Published online by Cambridge University Press:  20 November 2018

Hongming Ding
Hongming Ding*
Affiliation:
Department of Mathematics and Computer Science Saint Louis University 221 North Grand Blvd. St. Louis, MO 63103 USA
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Abstract

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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.

Keywords

35K0543A8535K1580A20Lorentz conesymmetric coneJordan algebraheat kernelheat equationLaplace-Beltrami operatoreigenvalues
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 2 , 01 June 1999 , pp. 169 - 173
Copyright
Copyright © Canadian Mathematical Society 1999

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