LEVY-HINCIN TYPE THEOREMS FOR MULTIPLICATIVE AND ADDITIVE FREE CONVOLUTION

被引:86
作者
BERCOVICI, H [1 ]
VOICULESCU, D [1 ]
机构
[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
D O I
10.2140/pjm.1992.153.217
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a description of infinitely divisible compactly supported probability measures relative to the multiplicative free convolutions on the positive half-line and on the unit circle. A new proof is provided for the analogous result for additive free convolution.
引用
收藏
页码:217 / 248
页数:32
相关论文
共 9 条
[1]  
Akhiezer, 1961, CLASSICAL MOMENT PRO
[2]  
[Anonymous], 1991, INTRO PROBABILITY TH
[3]  
GNEDENKO B. V., 1954, LIMIT DISTRIBUTIONS
[4]  
Levy P, 1937, THEORIE ADDITION VAR
[5]   ADDITION OF CERTAIN NON-COMMUTING RANDOM-VARIABLES [J].
VOICULESCU, D .
JOURNAL OF FUNCTIONAL ANALYSIS, 1986, 66 (03) :323-346
[6]  
VOICULESCU D, 1985, LECT NOTES MATH, V1132, P556
[7]  
VOICULESCU D, 1987, J OPERAT THEOR, V18, P223
[8]  
VOICULESCU D, 1987, J OPERAT THEOR, V18, P85
[9]  
Voiculescu D, 1990, FREE NONCOMMUTATIVE