Title: A stability property for probability measures on Abelian groups
Abstract: On an arbitrary LCA group G, let a probability measure μ2 have the property that it is uniquely defined, up to a shift and a central symmetry, by the modulus of its characteristic function. Then, if μ1 is a probability measure on R whose characteristic function is an entire function of finite order with real zeros, the property mentioned for μ2 remains valid for μ=μ1×μ2 on R×G.
Publication Year: 2000
Publication Date: 2000-08-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 5
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot