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arXiv · 1704.07876

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

Valentina Casarino·Paolo Ciatti
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Abstract

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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Valentina Casarino, Paolo Ciatti. 2017-04-25. Restriction estimates for the free two step nilpotent group on three generators. https://arxiv.org/abs/1704.07876

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