Bicontinuity of the Upsilon transformations
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چکیده
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 that the Υ-mappings are homeomorphisms onto their ranges, which are closed subsets of ID(∗).
منابع مشابه
Alea 4, 131–165 (2008) General Υ-transformations
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تاریخ انتشار 2004