THE SKITOVICH–DARMOIS THEOREM FOR LOCALLY COMPACT ABELIAN GROUPS

DOI10.1017/S1446788710000224zbMath1216.60006OpenAlexW2032405389MaRDI QIDQ3577304

Piotr Graczyk, Gennadiy Feldman

Publication date: 22 July 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788710000224

zbMATH Keywords

locally compact Abelian grouptopological automorphismindependent linear forms

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

On the Skitovich-Darmois theorem for some locally compact abelian groups ⋮ Skitovich-Darmois theorem for discrete and compact totally disconnected abelian groups ⋮ On a characterization of shifts of Haar distributions on compact open subgroups of a compact abelian group ⋮ On the Skitovich-Darmois theorem for complex and quaternion random variables ⋮ A characterization theorem on compact abelian groups ⋮ Skitovich-Darmois theorem for finite abelian groups ⋮ Generalized Pólya's theorem on \(\boldsymbol{a}\)-adic solenoids ⋮ Independent linear forms on the group \(\Omega_p\) ⋮ On a generalisation of the Skitovich-Darmois theorem for several linear forms on abelian groups ⋮ On a group analogue of the Heyde theorem ⋮ Independent Linear Statistics on the Cylinders

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