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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
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Abstract | References | Similar articles | Additional information

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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