A Note on the Multidimensional Moment Problem

Liqun Qi ()
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Liqun Qi: The Hong Kong Polytechnic University, Department of Applied Mathematics

A chapter in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, pp 1075-1079 from Springer

Abstract: 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.

Keywords: Multidimensional Moment Problem; Multidimensional Sequence; Hankel Matrices; Calligraphic Letters; Sixth Order (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72456-0_48

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DOI: 10.1007/978-3-319-72456-0_48

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