Non-commutative functions and the non-commutative free Lévy-Hinčin formula

Mihai Popa, Victor Vinnikov

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodule and non-commutative function techniques, we obtain analogues of the Lévy-Hinčin integral representation for infinitely divisible real measures.

Original languageEnglish
Pages (from-to)131-157
Number of pages27
JournalAdvances in Mathematics
Volume236
DOIs
StatePublished - 1 Mar 2013

Keywords

  • Free probability
  • Fully matricial functions
  • Infinite divisibility
  • Non-commutative functions
  • R-transform

ASJC Scopus subject areas

  • General Mathematics

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