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A stability property for probability measures on Abelian groups

✍ Scribed by H Carnal; G.M Feldman

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
49
Category
Article
ISSN
0167-7152

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✦ Synopsis

On an arbitrary LCA group G, let a probability measure 2 have the property that it is uniquely deΓΏned, up to a shift and a central symmetry, by the modulus of its characteristic function. Then, if 1 is a probability measure on R whose characteristic function is an entire function of ΓΏnite order with real zeros, the property mentioned for 2 remains valid for = 1 Γ— 2 on R Γ— G.

πŸ“œ SIMILAR VOLUMES

On Preservation of Stability for Finite
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## Abstract We characterize preservation of superstability and ω‐stability for finite extensions of abelian groups and reduce the general case to the case of __p__‐groups. In particular we study finite extensions of divisible abelian groups. We prove that superstable abelian‐by‐finite groups have o