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

2017/04/25 by Valentina Casarino, Casarino, Valentina, Paolo Ciatti +1
Mathematics · #22E25 #22E30 #43A80 #47B40 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Group Theory (math.GR) #Spectral Theory in Mathematical Physics #math.GR #msc:22E25 #msc:22E30 #msc:43A80 #msc:47B40

paper · pdf · doi:10.48550/arxiv.1704.07876

submitted

arxiv created 2017/04/25 · openalex publication_date 2017/04/25 · arxiv updated 2017/04/27 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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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