Polarization and Unitary Representations of Solvable Lie Groups.
Polynomially growing pluriharmonic functions on Siegel domains
Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.
Pompeiu Sets in Compact Heisenberg Manifolds.
Positive Definite Functions on the Heisenberg Group.
Principe d'incertitude qualitatif pour les groupes de Lie nilpotents.
We prove that any simply connected nilpotent Lie group satisfies the qualitative uncertainty principle.