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Projection Theorems and Isometries of Hyperbolic Spaces (2305.12302v1)
Published 20 May 2023 in math.CA and math.DS
Abstract: We prove a restricted projection theorem for an n-2 dimensional family of projections from $\mathbb Rn$ to $\mathbb R$. The family we consider arises naturally in the context of the adjoint representation of the maximal unipotent subgroup of ${\rm SO}(n-1,1)$ on the Lie algebra of ${\rm SO}(n,1)$.
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