Inhomogeneous refinement equations with random affine maps

Rafał Kapica, Janusz Morawiec

Given a probability space $(\Omega ,\mathcal{A},P)$, random variables $L,M:\Omega \to \mathbb{R}$ and $g\in L^1(\mathbb{R})$ we obtain two characterizations of these $f\in L^1(\mathbb{R})$ w…