2 citations · 3 across the 5 of their papers we have counts for
6 papers
Sharp estimates for the hypergeometric functions related to root systems of type 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 and for all rank 1…
Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case
P. Graczyk, P. Sawyer
In this article, we consider the radial Dunkl geometric case corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positi…
Integral Kernels on Complex Symmetric Spaces and for the Dyson Brownian Motion
P. Graczyk, P. Sawyer
In this article, we consider flat and curved Riemannian symmetric spaces in the complex case and we study their basic integral kernels, in potential and spherical analysis: heat, N…
Potential kernels for radial Dunkl Laplacians
Piotr Graczyk, Tomasz Luks, Patrice Sawyer
We derive two-sided bounds for the Newton and Poisson kernels of the -invariant Dunkl Laplacian in geometric complex case when the multiplicity , i.e. for flat complex s…
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,…
On the product formula on non-compact Grassmannians
Piotr Graczyk, Patrice Sawyer
We study the absolute continuity of the convolution of two orbital measures on the symmetric space $SO_0(p,q)/SO(p)\timesSO(q)$, . We…