Bicontinuity of the Upsilon transformations


In the papers [BT3] and [BT4], the authors introduced and studied one-to-one mappings Υ and Υ (α ∈ ]0, 1[) from the class ID(∗) of infinitely divisible probability measures on R into itself. In particular it was proved that these mappings are continuous, when ID(∗) is endowed with the topology corresponding to weak convergence. In the present note we prove… (More)