Charakterisierungen von nirgends differenzierbaren Weierstraß- Funktionen durch Replikativität. (Characterization of nowhere differentiable Weierstraß functions by replicativity) (Q917726)

For a prime number p, consider the function \(S_ p(x)=\sum^{\infty}_{n=0}(1/p^ n)\sin (2\pi p^ nx).\) It is shown that \(S_ p\) can be characterized as the only continuous solution of a system of functional equations.