科研之友
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摘要
It is shown that the bi-freely infinitely divisible laws, and only these laws, can be used to approximate the distributions of sums of identically distributed bi-free pairs of commuting faces. Furthermore, the necessary and sufficient conditions for this approximation are found. Bi-free convolution semigroups of measures and their Levy-Khintchine representations are also studied here from an infinitesimal point of view. The proofs depend on the harmonic analysis machinery we Bevel, oped for integral transforms of two variables, without reference to the combinatorics of moments and bi-free cumulants.
- 出版日期2016-8-15
- 单位中山大学; Saskatchewan; Saskatoon
