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SL(n) Contravariant \(L_{p}\) Harmonic Valuations on Polytopes

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Abstract

All SL(n) contravariant \(L_{p}\) harmonic valuations on convex polytopes are completely classified without homogeneity assumptions.

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Acknowledgements

The work of the first author was supported by China Scholarship Council (CSC 201808430267) and the Natural Science Foundation of Hunan Province (2019JJ50172). The work of the second author was supported by the Natural Science Foundation of Hunan Province (2017JJ3085).

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  1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, 411201, People’s Republic of China

    Lijuan Liu & Wei Wang

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  1. Lijuan Liu
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  2. Wei Wang
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Correspondence to Wei Wang.

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Liu, L., Wang, W. SL(n) Contravariant \(L_{p}\) Harmonic Valuations on Polytopes. Discrete Comput Geom 66, 977–995 (2021). https://doi.org/10.1007/s00454-019-00171-1

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  • DOI: https://doi.org/10.1007/s00454-019-00171-1

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