Atoms and regularity for measures in a partially defined free convolution semigroup

DOI10.1007/s00209-004-0671-yzbMath1065.46045OpenAlexW1985366687MaRDI QIDQ706110

Hari Bercovici, Serban Teodor Belinschi

Publication date: 2 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0671-y

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Free probability and free operator algebras (46L54) General properties of functions of one complex variable (30A99) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Analytic continuation of functions of one complex variable (30B40)

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Cites Work

• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• Processes with free increments
• Images of non-tangential sectors under Cauchy transforms
• Superconvergence to the central limit and failure of the Cramér theorem for free random variables
• Free Random Variables
• On the multiplication of free N -tuples of noncommutative random variables
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