De Rham's singular function and related functions
type: Item
instance of: scholarly article
title: De Rham's singular function and related functions
zbMATH Open document ID: 0985.39020
DOI: 10.4171/ZAA/947
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2002-05-29T00:00:00Z
full work available at URL: https://eudml.org/doc/49179
review text: The authors present and discuss generalizations of de Rham's function, which is the unique bounded solution of a certain system of functional equations. To this aim they investigate several generalizations of that system of functional equations which leads to the original de Rham function.
reviewed by: Jens Schwaiger
Mathematics Subject Classification ID: 39B72
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 26A30
zbMATH DE Number: 1453213
zbMATH Keywords: De Rham's singular function
zbMATH Keywords: bounded solution
zbMATH Keywords: system of functional equations
author: Lothar Berg
author: Manfred Krüppel
MaRDI profile type: Publication
cites work: Cantor sets and integral-functional equations
cites work: Addition Theorems and Binary Expansions
cites work: Functional equations for peculiar functions
cites work: Ein maßtheoretischer Satz mit Anwendungen auf Funktionalgleichungen
cites work: Fubini foiled: Katok's paradoxical example in measure theory
cites work: Q3243599
cites work: The dynamical system generated by the \(3n+1\) function
OpenAlex ID: W2052502122
description: scientific article; zbMATH DE number 1453213