Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The Heyde theorem on a-adic solenoids

100%

Myronyuk M.

Colloquium Mathematicum

2013

tom 132

nr 2

195-210

We prove the following analogue of the Heyde theorem for a-adic solenoids. Let ξ₁, ξ₂ be independent random variables with values in an a-adic solenoid $Σ_{a}$ and with distributions μ₁, μ₂. Let $α_j, β_j$ be topological automorphisms of $Σ_{a}$ such that $β₁α^{-1}₁ ± β₂α^{-1}₂$ are topological automorphisms of $Σ_{a}$ too. Assuming that the conditional distribution of the linear form L₂ = β₁ξ₁ + β₂ξ₂ given L₁ = α₁ξ₁ + α₂ξ₂ is symmetric, we describe the possible distributions μ₁, μ₂.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Myronyuk M.

1 2013

Wyniki wyszukiwania

The Heyde theorem on a-adic solenoids