The discrete horospherical p-Minkowski problem in hyperbolic space

Abstract

In LX, the first author and the third author introduced and studied the horospherical p-Minkowski problem for smooth horospherically convex domains in hyperbolic space. In this paper, we introduce and solve the discrete horospherical p-Minkowski problem in hyperbolic space for all p∈(-∞,+∞) when the given measure is even on the unit sphere.

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