1995•Transactions of the American Mathematical SocietyOpen access

Lévy type characterization of stable laws for free random variables

Vittorino Pata

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Abstract

We give a description of stable probability measures relative to free additive convolution. The definition of domain of attraction is given, and a proof is provided of the noncommutative analogue of Lévy Theorem.

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We give a description of stable probability measures relative to free additive convolution. The definition of domain of attraction is given, and a proof is provided of the noncommutative analogue of Lévy Theorem.

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Available abstract

We give a description of stable probability measures relative to free additive convolution. The definition of domain of attraction is given, and a proof is provided of the noncommutative analogue of Lévy Theorem.

Key concepts: Mathematics, Characterization (materials science), Type (biology), Convolution (computer science), Free probability, Pure mathematics, Noncommutative geometry, Domain (mathematical analysis)

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