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math.CA2024
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.CA2018
Some Class of Linear Operators Involved in Functional Equations
Janusz Morawiec, Thomas Zürcher
Fix and assume that for every the functions and are Lebesgue measurable, is almost…
math.CA2018
An application of functional equations for generating -invariant measures
Janusz Morawiec, Thomas Zürcher
Let be a probability space and let be a measurable transformation. Motivated by the paper of K. Nikodem [Czechoslovak Math. J. 41(116) (4) (19…