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- W4297209780 abstract "We address the question of a Berry-Esseen type theorem for the speed of convergence in a multivariate free central limit theorem. For this, we estimate the difference between the operator-valued Cauchy transforms of the normalized partial sums in an operator-valued free central limit theorem and the Cauchy transform of the limiting operator-valued semicircular element. Since we have to deal with in general non-self-adjoint operators, we introduce the notion of matrix-valued resolvent sets and study the behavior of Cauchy transforms on them." @default.
- W4297209780 created "2022-09-27" @default.
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- W4297209780 date "2012-02-13" @default.
- W4297209780 modified "2023-09-23" @default.
- W4297209780 title "Operator-valued and multivariate free Berry-Esseen theorems" @default.
- W4297209780 doi "https://doi.org/10.48550/arxiv.1202.2740" @default.
- W4297209780 hasPublicationYear "2012" @default.
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