2 papers
math.AP2025
A unified proof of sharp bounds for the Jacobi heat kernel with trace and estimates of multiplicative constants
Adam Nowak, Paweł Plewa, Tomasz Z. Szarek
We give a unified and optimized proof of the sharp bounds for the Jacobi heat kernel, which were obtained gradually in several papers in recent years. We lay particular emphasis on…
math.CA2024★ 1 cited
New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to…