Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter
Classical Analysis and ODEs
2014-02-12 v2
Abstract
The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimates of this kernel. Our method relies on establishing a connection with a situation of expansions based on Jacobi polynomials and then transferring known sharp bounds for the related Jacobi heat kernel.
Cite
@article{arxiv.1208.5199,
title = {Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter},
author = {Adam Nowak and Luz Roncal},
journal= {arXiv preprint arXiv:1208.5199},
year = {2014}
}
Comments
8 pages; v2 (now all possible parameters of type admitted)