MINIMAL REPRESENTING MEASURES ARISING FROM RANK-INCREASING MOMENT MATRIX EXTENSIONS
Lawrence A. Fialkow · 1999
If µ is a representing measure for (2n) in the Truncated Complex Moment Problem ij = R z i z j dµ (0 6 i+j 6 2n), then cardsuppµ > rankM(n), where M(n) M(n)( ) is the associated moment matrix. We present a concrete example of illustrating the case when cardsuppµ > rankM(n)( ) for every representing measure µ. This example is based on an analysis of moment problems in which some analytic column Z k of M(n) can be expressed as a linear combination of columns Z i Z j of strictly lower