T. Zürcher

collaborators

3 papers

math.CA2021

Linear Functional Equations and their Solutions in Lorentz Spaces

Janusz Morawiec, Thomas Zürcher

Assume that $Ω \subset R^{k}$ is an open set, $V$ is a separable Banach space over a field $K \in {R, C}$ and $f_{1}, \dots, f_{N} : Ω \to Ω$ , $g_1,\ldot…

math.CA2017

Attractor of Cantor Type with Positive Measure

Janusz Morawiec, Thomas Zürcher

We construct an iterated function system consisting of strictly increasing contractions $f, g : [0, 1] \to [0, 1]$ with $f ([0, 1]) \cap g ([0, 1]) = \emptyset$ and such that its attracto…

math.CA2017

On a problem of Janusz Matkowski and Jacek Wesołowski

Janusz Morawiec, Thomas Zürcher

We study the problem of the existence of increasing and continuous solutions $φ : [0, 1] \to [0, 1]$ such that $φ (0) = 0$ and $φ (1) = 1$ of the functional equation \begin{equation*} φ(x…