P. Sawyer

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20122022

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

A_{n}

2 citations · 3 across the 5 of their papers we have counts for

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math.RT2020★ 2 cited

Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_{n}$

P. Graczyk, P. Sawyer

In this article, we consider the radial Dunkl geometric case $k = 1$ corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positi…

math.RT2017

Laplace-type representation for some generalized spherical functions of type BC

P. Sawyer

In [M. Rösler and M. Voit. Integral Representation and Uniform Limits for Some Heckman-Opdam Hypergeometric Functions of type BC, Transactions of the American Mathematical Society,…

math.RT2012

On the product formula on non-compact Grassmannians

Piotr Graczyk, Patrice Sawyer

We study the absolute continuity of the convolution $δ_{e^{X}}^{♮} ⋆ δ_{e^{Y}}^{♮}$ of two orbital measures on the symmetric space $SO_0(p,q)/SO(p)\timesSO(q)$, $q > p$ . We…

Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case An​

Laplace-type representation for some generalized spherical functions of type BC

On the product formula on non-compact Grassmannians

Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_{n}$