Measures with Finite Index of Determinacy or a Mathematical Model for Dr. Jekyll and Mr. Hyde

@inproceedings{Durn1996MeasuresWF,
title={Measures with Finite Index of Determinacy or a Mathematical Model for Dr. Jekyll and Mr. Hyde},
author={Antonio J. Dur{\'a}n},
year={1996}
}

In this note measures with finite index of determinacy (i.e. determinate measures μ for which there exists a polynomial p such that |p|2μ is indeterminate) are characterizated in terms of the operator associated to its Jacobi matrix. Using this characterization, we show that such determinate measures with finite index of determinacy (Jekyll) turn out to be indeterminate (Hyde) when considered as matrices of measures. 1. Results By M∗ we denote the set of positive measures μ on R having moments… CONTINUE READING