Ein Null‐Zwei‐Gesetz auf lokalkompakten abelschen Halbgruppen | Zendy

Kinzl Franz | Zendy

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Ein Null‐Zwei‐Gesetz auf lokalkompakten abelschen Halbgruppen

Author(s) -

Kinzl Franz

Publication year - 1979

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19790880124

Subject(s) - mathematics , semigroup , abelian group , iterated function , convolution (computer science) , pure mathematics , sequence (biology) , locally compact space , measure (data warehouse) , limit of a sequence , class (philosophy) , combinatorics , discrete mathematics , limit (mathematics) , mathematical analysis , machine learning , artificial intelligence , biology , artificial neural network , computer science , genetics , database

Let λ, μ be regular probability measures on a locally compact abelian semigroup S , λ * μ the convolution of λ and μ, λ n the n th iterated convolution of λ, δ x the point measure of x ϵ S . We study the totalvariation of λ n –δ x * λ n for n → ∞. We shall see that for a certain class of semigroups the limit of this sequence is either 0 or 2.

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