Feuilletages de Lie résolubles
Four dimensional symplectic Lie algebras.
Fourier transform of Schwartz functions on the Heisenberg group
Let H₁ be the 3-dimensional Heisenberg group. We prove that a modified version of the spherical transform is an isomorphism between the space 𝓢ₘ(H₁) of Schwartz functions of type m and the space 𝓢(Σₘ) consisting of restrictions of Schwartz functions on ℝ² to a subset Σₘ of the Heisenberg fan with |m| of the half-lines removed. This result is then applied to study the case of general Schwartz functions on H₁.
Fourier-Stieltjes algebras of compact extensions of nilpotent groups.
Funktionenalgebren auf Bahnen nilpotenter Gruppen