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Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde

Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde

In this note measures with finite index of determinacy (i.e. determinate measures $\mu$ for which there exists a polynomial $p$ such that $\vert p\vert ^{2} \mu$ is indeterminate) are characterizated in terms of the operator associated to its Jacobi matrix. Using this characterization, we show that such determinate measures with …