Noncommutative transforms and free pluriharmonic functions
泛函分析
2009-02-04 v4 算子代数
摘要
In this paper, we study free pluriharmonic functions on noncommutative balls, and their boundary behavior. The main tools used in this study are certain noncommutative transforms which are introduced in the present paper and which generalize the classical transforms of Berezin, Poisson, Fantappie, Herglotz, and Cayley. Several classical results from complex analysis have free analogues in our noncommutative multivariable setting.
引用
@article{arxiv.math/0701682,
title = {Noncommutative transforms and free pluriharmonic functions},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:math/0701682},
year = {2009}
}
备注
46 pages