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Bridging Mathematics, Statistics, Engineering and Technology pp 43–46Cite as

On the Non-uniqueness of the Decomposition of Weighted Pseudo Almost Periodic Functions

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 24))

Abstract

In this short communication, we show through an example that the decomposition of a ρ-weighted pseudo almost periodic function is not unique when \({\inf }_{{ \atop t\in \mathbb{R}} }\rho (t) = 0\).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD, 21251, USA

    Gaston M. N’Guérékata

Authors
  1. Gaston M. N’Guérékata
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Corresponding author

Correspondence to Gaston M. N’Guérékata .

Editor information

Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

  2. , Department of Technology, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Keith Williamson

  3. , Department of Engineering, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Nasser Ghariban

  4. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Dawit Haile

  5. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Zhifu Xie

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N’Guérékata, G.M. (2012). On the Non-uniqueness of the Decomposition of Weighted Pseudo Almost Periodic Functions. In: Toni, B., Williamson, K., Ghariban, N., Haile, D., Xie, Z. (eds) Bridging Mathematics, Statistics, Engineering and Technology. Springer Proceedings in Mathematics & Statistics, vol 24. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4559-3_5

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