Nonlocalization Properties of Time Operators Transformations
English
Sorger, Ulrich[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Suchanecki, Zdzislaw[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
[en] Time operator ; Evolution semigroup ; Shift operator ; Walsh functions ; Walsh-Paley system ; Nonlocality
[en] It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on function spaces having the Urysohn property are non localized. Particular attention has been devoted to time and Lambda operators associated with the Walsh-Paley system and to a characterization of their domain and non locality.