%0 Report %1 rao2007multiplication %A Rao, N. Raj %A Speicher, Roland %D 2007 %K probability theory %T Multiplication of free random variables and the S-transform: the case of vanishing mean %U http://arxiv.org/abs/0706.0323 %X This note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right interpretation of the S-transform in the case of vanishing mean, the usual formula makes perfectly good sense.

@techreport{rao2007multiplication, abstract = {This note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right interpretation of the S-transform in the case of vanishing mean, the usual formula makes perfectly good sense.}, added-at = {2020-02-06T15:18:04.000+0100}, author = {Rao, N. Raj and Speicher, Roland}, biburl = {https://www.bibsonomy.org/bibtex/258e5b86b98e23e62993883d8607a9eb1/kirk86}, description = {[0706.0323] Multiplication of free random variables and the S-transform: the case of vanishing mean}, interhash = {995223b0a30d08da3aa6b170c2aa6067}, intrahash = {58e5b86b98e23e62993883d8607a9eb1}, keywords = {probability theory}, note = {cite arxiv:0706.0323Comment: Submitted to the Electronic Communications on Probability}, timestamp = {2020-02-06T15:18:04.000+0100}, title = {Multiplication of free random variables and the S-transform: the case of vanishing mean}, url = {http://arxiv.org/abs/0706.0323}, year = 2007 }