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ISSN 1088-6826(e) ISSN 0002-9939(p)

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

Author(s): Christian Berg; Antonio J. Duran
Journal: Proc. Amer. Math. Soc. 125 (1997), 523-530.
MSC (1991): Primary 42C05, 44A60
MathSciNet review: 1353377
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Abstract: 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 finite index of determinacy (Jekyll) turn out to be indeterminate (Hyde) when considered as matrices of measures.

References:

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