Harmonic analysis approach to Voiculescu's R-transform
Date
2016-09-22
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ORCID
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 This study is based on the unpublished notes [4] of James Mingo and Roland Speicher, in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