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arxiv: 1705.06569 · v1 · pith:US4T5CN3new · submitted 2017-04-28 · 🧮 math.OA · math.PR

Harmonic analysis for the bi-free partial S-transform

classification 🧮 math.OA math.PR
keywords bi-freeanalysisharmonicpartials-transformanalyzecommutingcontinuation
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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.

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