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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.3
- 수록면
- 107 - 118 (12page)
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In this note we observe that any truncated multi-index sequence has an in terpolating measure supported in Euclidean space. It is well known that the consistencyof a truncated moment sequence is equivalent to the existence of an interpolating measurefor the sequence. When the moment matrix of a moment sequence is nonsingular, thesequence is naturally consistent; a proper perturbation to a given moment matrix enablesus to confirm the existence of an interpolating measure for the moment sequence. We alsoillustrate how to find an explicit form of an interpolating measure for some cases.
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