• 충청수학회지
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• 제22권3호
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• pp.439-450
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• 2009

In this note we give a connection between the truncated moment problem and the 2-variable subnormal completion problem.

• Kyungpook Mathematical Journal
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• 제58권4호
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• pp.711-732
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• 2018

In this paper, we give a new approach to solving the 2-variable subnormal completion problem (SCP for short). To this aim, we extend the notion of recursively generated weighted shifts, introduced by R. Curto and L. Fialkow, to 2-variable case. We next provide "concrete" necessary and sufficient conditions for the existence of solutions to the 2-variable SCP with minimal Berger measure. Furthermore, a short alternative proof to the propagation phenomena, for the subnormal weighted shifts in 2-variable, is given.