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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the support of the spectral measure of a harmonizable sequence
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by Andrzej Makagon and Agnieszka Wyłomańska PDF
Proc. Amer. Math. Soc. 136 (2008), 2609-2613 Request permission

Abstract:

In this note we discuss a relationship between the correlation function of a harmonizable sequence and support of its spectral measure.
References
  • E. G. Gladyshev, “Periodically correlated random sequences”, Soviet Math. 2 (1961), 385-388.
  • Harry L. Hurd, Correlation theory of almost periodically correlated processes, J. Multivariate Anal. 37 (1991), no. 1, 24–45. MR 1097303, DOI 10.1016/0047-259X(91)90109-F
  • Walter Rudin, Real and complex analysis, 3rd ed., McGraw-Hill Book Co., New York, 1987. MR 924157
  • Walter Rudin, Fourier analysis on groups, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1990. Reprint of the 1962 original; A Wiley-Interscience Publication. MR 1038803, DOI 10.1002/9781118165621
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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 Wyłomańska
  • Affiliation: Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2390533