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Universality properties of Walsh–Fourier series

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Abstract

It is shown that Walsh–Fourier series of \(W\)-continuous functions can have maximal sets of limit functions on small subsets of the unit interval.

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Acknowledgments

The authors thank the referees for their helpful comments. The first author was supported by DAAD (German Academic Exchange Service), Grant No. A/13/03763.

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Authors and Affiliations

  1. Faculty of Applied Mathematics, State Engineering University of Armenia, Yerevan, Armenia

    Sergo Episkoposian

  2. FB IV, Mathematics, University of Trier, Trier, Germany

    Jürgen Müller

Authors
  1. Sergo Episkoposian
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  2. Jürgen Müller
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Correspondence to Jürgen Müller.

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Communicated by A. Constantin.

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Episkoposian, S., Müller, J. Universality properties of Walsh–Fourier series. Monatsh Math 175, 511–518 (2014). https://doi.org/10.1007/s00605-014-0631-5

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  • DOI: https://doi.org/10.1007/s00605-014-0631-5

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