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On the support of the spectral measure of a harmonizable sequence


Authors: Andrzej Makagon and Agnieszka Wylomanska
Journal: Proc. Amer. Math. Soc. 136 (2008), 2609-2613
MSC (2000): Primary 60G12, 42B10
DOI: https://doi.org/10.1090/S0002-9939-08-09183-1
Published electronically: February 29, 2008
MathSciNet review: 2390533
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Abstract: In this note we discuss a relationship between the correlation function of a harmonizable sequence and support of its spectral measure.


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Additional Information

Andrzej Makagon
Affiliation: Wrocław College of Management and Finance, Wrocław, Poland; and Department of Mathematics, Hampton University, Hampton, Virginia 23668

Agnieszka Wylomanska
Affiliation: Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland

DOI: https://doi.org/10.1090/S0002-9939-08-09183-1
Keywords: Harmonizable sequence, periodically correlated sequence, spectral measure.
Received by editor(s): October 10, 2006
Received by editor(s) in revised form: March 23, 2007, and April 4, 2007
Published electronically: February 29, 2008
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.