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Recursiveness approach to multi-dimensional moment problems

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Abstract

In this paper, we show that multidimensional K-moment problems are closely related to multi-sequences of Fibonacci type. This motivated us to investigate such sequences. Interesting and useful results are obtained. Consequently, new necessary and sufficient conditions for the truncated multidimensional K-moment problem are provided. In addition, we exploit our results to get an abstract solution to the multidimensional subnormal completion problem.

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Authors and Affiliations

  1. Mohammed V University in Rabat, Rabat, Morocco

    Kaissar Idrissi & El Hassan Zerouali

Authors
  1. Kaissar Idrissi
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  2. El Hassan Zerouali
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Correspondence to Kaissar Idrissi.

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Communicated by Mostafa Mbekhta.

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Idrissi, K., Zerouali, E.H. Recursiveness approach to multi-dimensional moment problems. Ann. Funct. Anal. 13, 2 (2022). https://doi.org/10.1007/s43034-021-00149-2

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  • DOI: https://doi.org/10.1007/s43034-021-00149-2

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