3 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.CA2025
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…
math.CA2024
Another look at the Matkowski and WesoÅowski problem yielding a new class of solutions
Janusz Morawiec, Thomas Zürcher
The following MW--problem was posed independently by Janusz Matkowski and Jacek WesoÅowski in different forms in 1985 and 2009, respectively: Are there increasing and continuous f…