English

Harmonic analysis for the bi-free partial S-transform

Operator Algebras 2017-05-19 v1 Probability

Abstract

This is a continuation of our previous work in bi-free harmonic analysis for commuting left and right variables. Here we analyze the bi-free partial S-transform and use the results to study limit theorems and infinite divisibility relative to the multiplicative bi-free convolution.

Keywords

Cite

@article{arxiv.1705.06569,
  title  = {Harmonic analysis for the bi-free partial S-transform},
  author = {Hao-Wei Huang and Jiun-Chau Wang},
  journal= {arXiv preprint arXiv:1705.06569},
  year   = {2017}
}
R2 v1 2026-06-22T19:51:14.557Z