De Rham's singular function and related functions

Authors
Berg, L Kruppel, M
Citation
L. Berg et M. Kruppel, De Rham's singular function and related functions, Z ANAL ANWE, 19(1), 2000, pp. 227-237
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
1
Year of publication
2000
Pages
227 - 237
Database
ISI
SICI code
0232-2064(2000)19:1<227:DRSFAR>2.0.ZU;2-U
Abstract
For de Rham's singular function we derive new properties, in particular som e formulas which express its self-similarity. Inversions and compositions o f de Rham's function are considered as well as generalizations of de Rham's functional equations which have a connection to the (3n + 1)-iteration of Collatz.