6 citations · 8 across the 5 of their papers we have counts for
5 papers
A formula and sharp estimates for the Dunkl kernel for the root system
P. Graczyk, P. Sawyer
In this paper, we transform a formula for the Dunkl kernel by Béchir Amri. The resulting formula expresses the Dunkl kernel in terms of the Dunkl kernel involving…
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…
Space and time inversions of stochastic processes and Kelvin transform
Larbi Alili, Loïc Chaumont, Piotr Graczyk +1
Let be a standard Markov process. We prove that a space inversion property of implies the existence of a Kelvin transform of -harmonic, excessive and operator-harmonic f…
Convolution of orbital measures on symmetric spaces of type and
Piotr Graczyk, Patrice Sawyer
We study the absolute continuity of the convolution of two orbital measures on the symmetric spaces ${\bf SO}_0(p,p)/{\bf SO}(p)\times{\bf…
On inversions and Doob -transforms of linear diffusions
L. Alili, P. Graczyk, T. Zak
Let be a regular linear diffusion whose state space is an open interval . We consider a diffusion which probability law is obtained as a Doob -tr…