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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Moment problem with contractive solutions: the regular case


Author: Zenon J. Jablonski
Journal: Proc. Amer. Math. Soc. 135 (2007), 2811-2819
MSC (2000): Primary 47A20, 60G60; Secondary 44A60, 47A57, 60G10
Published electronically: May 2, 2007
MathSciNet review: 2317956
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Abstract: An operator multivariate moment problem with contractive solutions having regular unitary dilation is characterized in terms of the initial data. This extends a recent result of Sebestyén and Popovici, but the ideas of our proof differ from those used by them. The connection between the operator multivariate moment problem and harmonizable multivariate discrete processes is mentioned.


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Additional Information

Zenon J. Jablonski
Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, Poland
Email: jablonsk@im.uj.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08796-5
PII: S 0002-9939(07)08796-5
Keywords: Systems of contractions with regular unitary dilations, vector and operator moment problems, harmonizable multivariate discrete processes
Received by editor(s): December 29, 2005
Received by editor(s) in revised form: May 18, 2006
Published electronically: May 2, 2007
Additional Notes: This work was supported by the KBN grant 2 P03A 037 024.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2007 American Mathematical Society