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Multiplication of free random variables and the S-transform: the case of vanishing mean

   
@article{ECP1274,
	author = {N. Raj Rao and Roland Speicher},
	title = {Multiplication of free random variables and the S-transform: the case of  vanishing mean},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Random matrices, free probability; free multiplicative convolution},
	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.},
	pages = {no. 24, 248-258},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1274},    
        url = {http://ecp.ejpecp.org/article/view/1274}}