In this paper we prove a restriction theorem for the full Laplacian on a group of Métivier type. In particular, we compute the spectral resolution of this operator and estimate the norm of the spectral projections between Lebesgue spaces.
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Valentina Casarino, Paolo Ciatti, Restriction estimates for the full Laplacian on Métivier groups. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 24 (2013), no. 2, pp. 165–179DOI 10.4171/RLM/650