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On the support of the spectral measure of a harmonizable sequence
Author(s):
Andrzej
Makagon;
Agnieszka
Wylomanska
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2609-2613.
MSC (2000):
Primary 60G12, 42B10
Posted:
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.
References:
-
- 1.
- E. G. Gladyshev, ``Periodically correlated random sequences'', Soviet Math. 2 (1961), 385-388.
- 2.
- H. L. Hurd, ``Correlation Theory of Almost Periodically Correlated Processes'', J. Mult. Anal. 37 (1) (1991), 24-45. MR 1097303 (92e:60074)
- 3.
- W. Rudin, Real and Complex Analysis, McGraw-Hill (1987). MR 924157 (88k:00002)
- 4.
- W. Rudin, Fourier Analysis on Groups, John Wiley & Sons (1990). MR 1038803 (91b:43002)
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Additional Information:
Andrzej
Makagon
Affiliation:
Wroclaw College of Management and Finance, Wroclaw, Poland; and Department of Mathematics, Hampton University, Hampton, Virginia 23668
Agnieszka
Wylomanska
Affiliation:
Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wroclaw, Poland
DOI:
10.1090/S0002-9939-08-09183-1
PII:
S 0002-9939(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
Posted:
February 29, 2008
Communicated by:
Richard C. Bradley
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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