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arxiv: 1704.07876 · v1 · pith:LT5BJIHWnew · submitted 2017-04-25 · 🧮 math.GR

Restriction estimates for the free two step nilpotent group on three generators

classification 🧮 math.GR
keywords freegeneratorsgroupnilpotentstepthreearisingcompute
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Let $G$ be the free two step nilpotent Lie group on three generators and let $L$ be a sub-Laplacian on it. We compute the spectral resolution of $L$ and prove that the operators arising from this decomposition enjoy a Tomas-Stein type estimate.

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