2 citations · 5 across the 17 of their papers we have counts for
19 papers
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…
Invariant Probability Measures under -adic Transformations
Oleksandr V. Maslyuchenko, Janusz Morawiec, Thomas Zürcher
It is well-known that the Lebesgue measure is the unique absolutely continuous invariant probability measure under the -adic transformation. The purpose of this paper is to char…
Another look at the Matkowski and Wesołowski problem yielding a new class of solutions
Janusz Morawiec, Thomas Zürcher
The following MW--problem was posed independently by Janusz Matkowski and Jacek Wesołowski in different forms in 1985 and 2009, respectively: Are there increasing and continuous fu…
Linear Functional Equations and their Solutions in Lorentz Spaces
Janusz Morawiec, Thomas Zürcher
Assume that is an open set, is a separable Banach space over a field and , $g_1,\ldot…
Monotone mappings and lines
Wiesław Kubiś, Janusz Morawiec, Thomas Zürcher
We study betweenness preserving mappings (we call them \emph{monotone}) defined on subsets of the plane. Once the domain is a convex set, such a mapping is either the restriction o…
An application of medial limits to iterative functional equations
Janusz Morawiec
Assume that is a probability space, is a function such that , for every , …