MEASURES WITH FINITE INDEX OF DETERMINACY OR A MATHEMATICAL-MODEL FORDR JEKYLL AND MR HYDE

Authors
BERG C DURAN AJ
Citation
C. Berg et Aj. Duran, MEASURES WITH FINITE INDEX OF DETERMINACY OR A MATHEMATICAL-MODEL FORDR JEKYLL AND MR HYDE, Proceedings of the American Mathematical Society, 125(2), 1997, pp. 523-530
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
2
Year of publication
1997
Pages
523 - 530
Database
ISI
SICI code
0002-9939(1997)125:2<523:MWFIOD>2.0.ZU;2-8
Abstract
In this note measures with finite index of determinacy (i.e. determina te measures mu for which there exists a polynomial p such that \p\(2) mu is indeterminate) are characterizated in terms of the operator asso ciated to its Jacobi matrix. Using this characterization, we show that such determinate measures with finite index of determinacy (Jekyll) t urn out to be indeterminate (Hyde) when considered as matrices of meas ures.