Feuilletages de Lie résolubles
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Four dimensional symplectic Lie algebras.
Ovando, Gabriela (2006)
Beiträge zur Algebra und Geometrie
Fourier transform of Schwartz functions on the Heisenberg group
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci (2013)
Studia Mathematica
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.
John R. Liukkonen, Michael W. Mislove (1981)
Journal für die reine und angewandte Mathematik
Funktionenalgebren auf Bahnen nilpotenter Gruppen
Horst Leptin (1987)
Colloquium Mathematicae
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