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Walsh Series Analysis of the L 2-Discrepancyof Symmetrisized Point Sets

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Abstract.

 We present a method to estimate the L 2-discrepancy of symmetrisized point sets from above and from below with the help of Walsh series analysis. We apply the method to a class of two-dimensional net-type point sets, thereby generalizing results of Halton and Zaremba and of Proinov.

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Authors and Affiliations

  1. Universität Linz, Austria, , , , , , AT

    G. Larcher & F. Pillichshammer

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  1. G. Larcher
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  2. F. Pillichshammer
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(Received 14 September 2000)

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Larcher, G., Pillichshammer, F. Walsh Series Analysis of the L 2-Discrepancyof Symmetrisized Point Sets. Mh Math 132, 1–18 (2001). https://doi.org/10.1007/s006050170054

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  • DOI: https://doi.org/10.1007/s006050170054

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