The Abel transform and shift operators
The combinatorics of Harish-Chandra bimodules.
The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
The evolution and Poisson kernels on nilpotent meta-abelian groups
Let S be a semidirect product S = N⋊ A where N is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and A is isomorphic to , k>1. We consider a class of second order left-invariant differential operators on S of the form , where , and for each is left-invariant second order differential operator on N and , where Δ is the usual Laplacian on . Using some probabilistic techniques (e.g., skew-product formulas for diffusions on S and N respectively) we obtain an...
The Fatou theorem for NA groups - a negative result
The Fourier Transform of Harish-Chandra's c-Function and Inversion of the Able Transform.
The Fourier transforms of Lipschitz functions on certain domains.
The Heisenberg group and the group Fourier transform of regular homogeneous distributions
The infinite Brownian loop on a symmetric space.
The linear symmetric systems associated with the modified Cherednik operators and applications
We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
The Perron product integral in Lie groups
The Poisson Kernel for Heisenberg Polynomials on the Disk.
The Poisson Space of the Koranyi Ball.
The principal series for a reductive symmetric space. I. -fixed distribution vectors
The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
The Selberg trace formula. I: ...-rank one lattices.
The unitary dual for complex classical Lie groups.
The Volume of a Compact Lie Group.
Théorème de Fatou pour les fonctions propres des opérateurs différentiels invariants par un groupe de déplacements de Cartan
Nous étudions le comportement à l’infini des intégrales de Poisson liées aux groupes de déplacements de Cartan.
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.