Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type

  • Brian C. Hall, Matthew B. Stenzel, MATTHEW B. STENZEL
  • Published 2003

Abstract

We discuss a sharper than Gaussian bound for the heat kernel (acting on functions) of a split rank or rank one symmetric space of noncompact type. The proof uses a modified Minakshisundaram-Pleijel parametrix and a very explicit expression for the Laplacian of the Jacobian of the exponential map in terms of the restricted roots. The motivation is to… (More)

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Cite this paper

@inproceedings{Hall2003SharpBF, title={Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type}, author={Brian C. Hall and Matthew B. Stenzel and MATTHEW B. STENZEL}, year={2003} }