Tahun Terbit

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We prove that if μ is a Radon measure on the Heisenberg group Hn such that the density Θs(μ, ·), computed with respect to the Kor´anyi metric dH, exists and is positive and finite on a set of positive μ measure, then s is an integer. The proof relies on an analysis of uniformly distributed measures on (Hn, dH). We provide a number of examples of such measures, illustrating…