JournalszaaVol. 19, No. 1pp. 227–237

De Rham’s Singular Function and Related Functions

  • Lothar Berg

    Universität Rostock, Germany
  • Manfred Krüppel

    Universität Rostock, Germany
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Abstract

For de Rham’s singular function we derive new properties, in particular some for-mulas which express its self-similarity. Inversions and compositions of de Rham’s function are considered as well as generalizations of de Rham’s functional equations which have a connection to the (3n+1(3n+1)-iteration of Collatz.

Cite this article

Lothar Berg, Manfred Krüppel, De Rham’s Singular Function and Related Functions. Z. Anal. Anwend. 19 (2000), no. 1, pp. 227–237

DOI 10.4171/ZAA/947