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A Note on The Multidimensional Moment Problem

2016/01/19 by Liqun Qi, Qi, Liqun
Computer Science · Mathematics · #FOS: Mathematics #Mathematical Approximation and Integration #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Tensor decomposition and applications #math.SP

paper · pdf · doi:10.48550/arxiv.1602.03406

arxiv created 2016/01/19 · openalex publication_date 2016/01/19 · arxiv updated 2016/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we show that if a multidimensional sequence generates Hankel tensors and all the Hankel matrices, generated by this sequence, are positive semi-definite, then this sequence is a multidimensional moment sequence.

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