Monatshefte für Mathematik

, Volume 132, Issue 1, pp 1–18 | Cite as

Walsh Series Analysis of the L2-Discrepancyof Symmetrisized Point Sets

  • G. Larcher
  • F. Pillichshammer

Abstract.

 We present a method to estimate the L2-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.

2000 Mathematics Subject Classification: 11K06 11K38 42C10 
Key words: Digital nets L2-discrepancy Walsh series analysis 

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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • G. Larcher
    • 1
  • F. Pillichshammer
    • 1
  1. 1.Universität Linz, AustriaAT

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