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
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References

Publications referenced by this paper.
Showing 1-6 of 6 references

MR 96 f : 30033 [ BD 2 ] , When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to ` 2 ?

  • A. J. Duran
  • J . Funct . Anal .
  • 1996

MR 94 k : 41008 [ D 2 ] , On Orthogonal polynomials with respect to a positive definite matrix of measures

  • A. J. Duran, W. van Assche
  • Can . J . Math .
  • 1995

Density questions in the classical theory of moments

  • J. P. R. Christensen
  • Ann . Inst . Fourier
  • 1981

Sur le problème des moments. Troisième Note

  • M. Riesz
  • Arkiv för Mat., astr. och fys
  • 1923

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