Kyungpook Mathematical Journal

  • 제45권2호
  • /
  • Pages.241-247
  • /
  • 2005
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Truncated Complex Moment Problem with Data in a Circle

  • Lee, Sang-Hun (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
  • Sim, Jung-Hui (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • 투고 : 2004.03.04
  • 발행 : 2005.06.23
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초록

Let ${\gamma}{\equiv}\left{{\gamma}_{ij}\right}(0{\leq}i+j{\leq}2n)$ be a collection of complex numbers with ${\gamma}_{00}>0$ and ${\gamma}_{ji}={\bar{\gamma}}_{ij}$. The truncated complex moment problem for ${\gamma}$ entails finding a positive Borel measure ${\mu}$ supported in the complex plane ${\mathbb{C}}$ such that ${\gamma}_{ij}={\int}{\bar{z}}^{i}z^jd{\mu}(z)(0{\leq}i+j{\leq}2n)$. We solve this truncated moment problem with data in a circle and discuss the behavior of data in an extended moment matrix.

키워드

과제정보

연구 과제 주관 기관 : Kyungpook National University, Korea Research Foundation

참고문헌

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