T. Zürcher

activity

20172026

collaborators

4 papers

math.FA2026

Operators arising from invariant measures under some class of multidimensional transformations

Oleksandr V. Maslyuchenko, Janusz Morawiec, Thomas Zürcher

We investigate a linear operator associated with a functional equation that arises from studying some class of invariant measures under multidimensional transformations. By examini…

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…