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The Gaussian Minkowski-type problems for C-pseudo-cones
classification
math.MG
math.PR
keywords
gaussianpseudo-conesmeasureproblemproblemsareaconecorresponding
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The Gaussian surface area measure and the Gaussian cone measure for $C$-pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski problem are proposed, respectively. The existence and uniqueness of solutions to these problems for $C$-pseudo-cones are established.
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