P. Sawyer

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20122024

most citedSharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case

A_{n}

2 citations · 4 across the 7 of their papers we have counts for

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math.CA2023★ 1 cited

A formula and sharp estimates for the Dunkl kernel for the root system $A_{2}$

P. Graczyk, P. Sawyer

In this paper, we transform a formula for the $A_{2}$ Dunkl kernel by Béchir Amri. The resulting formula expresses the $A_{2}$ Dunkl kernel in terms of the $A_{1}$ Dunkl kernel involving…

math.CA2022

Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1

Piotr Graczyk, Patrice Sawyer

In this article, we conjecture exact estimates for the Weyl-invariant Opdam-Cherednik hypergeometric functions. We prove the conjecture for the root system $A_{n}$ and for all rank 1…

A formula and sharp estimates for the Dunkl kernel for the root system A2​

Sharp estimates for the hypergeometric functions related to root systems of type A and of rank 1

A formula and sharp estimates for the Dunkl kernel for the root system $A_{2}$

Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1