Moment tensors and valuations on Lq-spaces

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.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2026-09-29
DOI
https://doi.org/10.1016/j.aam.2026.103162
Primary Topic
Tensor decomposition and applications
Type
article
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article

Moment tensors and valuations on Lq-spaces

Tian Gao, Dan Ma, Xinru Yang
Advances in Applied Mathematics
Tensor decomposition and applications
article

Moment tensors and valuations on Lq-spaces

Tian Gao, Dan Ma, Xinru Yang
article en

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.

Advances in Applied MathematicsVol. 182
Shanghai Normal University (CN)
Openalex Percentile: Top 12%
Tensor decomposition and applications
DOIOpen Access PDFOpenAlex
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Moment tensors and valuations on Lq-spaces — Tian Gao, Dan Ma, et al. · Advances in Applied Mathematics (2026) | TGRS Research Map | TGRS