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Harmonic analysis approach to Voiculescu's R-transform

Date

2016-09-22

Journal Title

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Publisher

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Type

Thesis

Degree Level

Masters

Abstract

In this thesis, we present a study of Voiculescu’s R-transform from the complex and harmonic analysis point of view. This study is based on the unpublished notes [4] of James Mingo and Roland Speicher, in which the main feature is the phenomenon of analytic subordination. Thus, this thesis is not an original research, but author’s own understanding (of the aforementioned book [4]) and comments on this particular topic in free harmonic analysis.

Description

Keywords

free convolution, R-transform addition formula

Citation

Degree

Master of Mathematics (M.Math)

Department

Mathematics and Statistics

Program

Mathematics

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DOI

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