Sharp estimates of the spherical heat kernel
Classical Analysis and ODEs
2019-11-19 v2
Abstract
We prove sharp two-sided global estimates for the heat kernel associated with a Euclidean sphere of arbitrary dimension. This solves a long-standing open problem.
Keywords
Cite
@article{arxiv.1802.09385,
title = {Sharp estimates of the spherical heat kernel},
author = {Adam Nowak and Peter Sjögren and Tomasz Z. Szarek},
journal= {arXiv preprint arXiv:1802.09385},
year = {2019}
}
Comments
9 pages, to appear in J. Math. Pures Appl. (9)