Poincaré Series on GL (r) and Kloostermann Sums.
Pointwise convergence of Fourier series on compact 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.
Principe d'incertitude qualitatif pour les groupes de Lie nilpotents.
We prove that any simply connected nilpotent Lie group satisfies the qualitative uncertainty principle.