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MR2254308 52A38 (35J20 35J60 52A21 52A39 52A40 53A15)
Chou, Kai-Seng; Wang, Xu-Jia The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry. Adv. Math. 205 (2006), no. 1, 33–83.
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