The heat kernel of the symmetric space \(\mathcal P_n\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 0964.22007
author: Keping Lu
publication date: 2001-05-15T00:00:00Z
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 1598740
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: \(GL(n)\)
zbMATH Keywords: heat equation
zbMATH Keywords: heat kernel
zbMATH Keywords: fundamental solution
zbMATH Keywords: Hermite matrix
MaRDI profile type: Publication
title: The heat kernel of the symmetric space \(\mathcal P_n\)
published in: Chinese Quarterly Journal of Mathematics
review text: Let \({\mathcal P}_n\) be the set of all \(n\times n\) Hermite positive defined matrices. \({\mathcal P}_n\) is considered as a homogeneous space for the group \(GL(n)\) of nonsingular \(n\times n\) complex matrices and let \(\Delta\) be the Laplace-Beltrami operator associated with the invariant Riemann metric on \({\mathcal P}_n\). The author computes the heat kernel (that is, the fundamental solution to the heat equation \((\Delta-\partial_t)f=0\)) on \({\mathcal P}_n\).
reviewed by: Vladimir V. Kisil
description: scientific article; zbMATH DE number 1598740