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math.MG2016
Radial continuous valuations on star bodies and star sets
Pedro Tradacete, Ignacio Villanueva
We show that a radial continuous valuation defined on the -dimensional star bodies extends uniquely to a continuous valuation on the -dimensional bounded star sets. Moreover,…
math.MG2016
A Jordan-like decomposition theorem for valuations on star bodies
Pedro Tradacete, Ignacio Villanueva
We show that every radial continuous valuation defined on the -dimensional star bodies , and verifying , can…