A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

@inproceedings{ROYBAL2007ARK,
  title={A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem},
  author={R. A. ROYBAL},
  year={2007}
}
  • R. A. ROYBAL
  • Published 2007
R x dμ is finite for all n. For each N ∈ N, we define the N th Hankel matrix to be HN = (si+j) N i,j=0. Since μ is positive, this implies that HN is positive semidefinite for each N . We let λN be the smallest eigenvalue of HN and note that Cauchy’s interlace theorem implies that λN decreases as N increases. If λN = 0 for some N , then λn = 0 for all n ≥ N… CONTINUE READING