Kyungpook Mathematical Journal

  • 제62권1호
  • /
  • Pages.107-118
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  • 2022
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Truncated Multi-index Sequences Have an Interpolating Measure

  • Choi, Hayoung (Department of Mathematics, Kyungpook National University) ;
  • Yoo, Seonguk (Department of Mathematics Education and RINS, Gyeongsang National University)
  • 투고 : 2021.06.02
  • 심사 : 2021.11.15
  • 발행 : 2022.03.31
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초록

In this note we observe that any truncated multi-index sequence has an interpolating measure supported in Euclidean space. It is well known that the consistency of a truncated moment sequence is equivalent to the existence of an interpolating measure for the sequence. When the moment matrix of a moment sequence is nonsingular, the sequence is naturally consistent; a proper perturbation to a given moment matrix enables us to confirm the existence of an interpolating measure for the moment sequence. We also illustrate how to find an explicit form of an interpolating measure for some cases.

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과제정보

The authors are indebted to Professor Ilwoo Cho and Professor Raul Curto for several discussions that led to a better presentation of this note.

참고문헌

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