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A new approach to subordination results in free probability

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Abstract

We show that the subordination results of D. Voiculescu and Ph. Biane can be deduced from a continuity property of fixed points for analytic functions.

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Authors and Affiliations

  1. Institute of Mathematics, Simion Stoilow of the Romanian Academy, P. O. BOX 1-764, RO-014700, Bucharest, Romania

    S. T. Belinschi

  2. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    S. T. Belinschi

  3. Mathematics Department, Indiana University, Bloomington, IN, 47405, USA

    H. Bercovici

Authors
  1. S. T. Belinschi
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  2. H. Bercovici
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Additional information

The second author was supported in part by a grant from the National Science Foundation.

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Belinschi, S.T., Bercovici, H. A new approach to subordination results in free probability. J Anal Math 101, 357–365 (2007). https://doi.org/10.1007/s11854-007-0013-1

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  • DOI: https://doi.org/10.1007/s11854-007-0013-1

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