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arxiv: 2002.06696 · v3 · pith:EM7ZPWZDnew · submitted 2020-02-16 · 🧮 math.RT

Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

classification 🧮 math.RT
keywords homogeneoushorocyclicradontransformtreeunitarizationconstructcontinuous
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Following previous work in the continuous setup, we construct the unitarization of the horocyclic Radon transform on a homogeneous tree X and we show that it intertwines the quasi regular representations of the group of isometries of X on the tree itself and on the space of horocycles.

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