Harmonic analysis approach to Voiculescu's R-transform
Tseng, Pei-Lun 1985-
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 This study is based on the unpublished notes  of James Mingo and Roland Speicher, in which the main feature is the phenomenon of analytic subordination.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 ) and comments on this particular topic in free harmonic analysis.
DegreeMaster of Mathematics (M.Math)
DepartmentMathematics and Statistics
CommitteeSowa, Artur; Dick, Rainer; Samei , Ebrahim
Copyright DateSeptember 2016
free convolution, R-transform addition formula