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Advances in Applied Mathematics· 2026Q2

Moment tensors and valuations on Lq-spaces

Tian Gao, Dan Ma, Xinru Yang

Short summary

Moment tensors are shown to be the complete classification for continuous, SL(n)-covariant higher-order symmetric-tensor-valued valuations on Lq-spaces.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Identifies moment tensors as the complete classification for certain valuations on Lq-spaces.
  • Focuses on continuous and SL(n)-covariant higher-order symmetric-tensor-valued valuations.
  • Establishes a fundamental equivalence for these mathematical structures.

AI-generated from the title and abstract; the full text is not read.

Abstract

A complete classification is established for all continuous and SL ( n ) covariant higher-order symmetric-tensor-valued valuations on L q -spaces. They are shown to be essentially the class of moment tensors.

The authors' abstract, as published at the source. Advances in Applied Mathematics, 2026 · DOI ↗

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Field: Computational Mathematics

Computational MathematicsMathematics