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Tensor valuations on Sobolev spaces

Gao, Tian et al.
arXiv (All) · Papers
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functional-analysismetric-geometry
A complete classification is established for continuous, SL($n$) contravariant, and translation invariant tensor valuations defined on the Sobolev space $W^{1,p}(\mathbb R^n)$. When these valuations are further assumed to be homogeneous, the classification reveals that they are precisely the Fisher
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