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arXiv · 1208.5199

Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter

Adam Nowak·Luz Roncal
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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.

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Adam Nowak, Luz Roncal. 2012-08-26. Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter. https://arxiv.org/abs/1208.5199

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