G. Anderson, A. Guionnet, and O. Zeitouni, An Introduction to Random Matrices. Cambridge studies in advanced mathematics, p.118, 2009.

G. Anderson and O. Zeitouni, A CLT for a band matrix model, Probability Theory and Related Fields, vol.20, issue.2, pp.283-338, 2005.
DOI : 10.1007/s00440-004-0422-3

S. T. Belinschi, A note on regularity for free convolutions, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.42, issue.5, pp.635-648, 2006.
DOI : 10.1016/j.anihpb.2005.05.004

S. T. Belinschi, The Lebesgue decomposition of the free additive convolution of two probability distributions, Probability Theory and Related Fields, vol.182, issue.3, pp.125-150, 2008.
DOI : 10.1007/s00440-007-0100-3

S. T. Belinschi and D. Shlyakhtenko, Free probability of type B: analytic aspects and applications

S. T. Belinschi, F. Benaych-georges, and A. Guionnet, Regularization by Free Additive Convolution, Square and Rectangular Cases, Complex Analysis and Operator Theory, vol.3, issue.3, pp.611-660, 2009.
DOI : 10.1007/s11785-008-0080-z

URL : https://hal.archives-ouvertes.fr/hal-00717347

H. Bercovici and D. Voiculescu, Regularity questions for free convolution, Nonselfadjoint operator algebras, operator theory, and related topics, Oper. Theory Adv. Appl, vol.104, pp.37-47, 1998.

P. Biane, On the free convolution with a semi-circular distribution, Indiana University Mathematics Journal, vol.46, issue.3, pp.705-718, 1997.
DOI : 10.1512/iumj.1997.46.1467

M. Février, Higher order infinitesimal freeness, arXiv

M. Février and A. Nica, Infinitesimal non-crossing cumulants and free probability of type B, Journal of Functional Analysis, vol.258, issue.9, pp.2983-2023, 2010.
DOI : 10.1016/j.jfa.2009.10.010

F. W. King, Hilbert transforms, Encyclopedia of Mathematics and its Applications, 2009.

D. Shlyakhtenko, Random Gaussian band matrices and freeness with amalgamation, Internat. Math. Res. Notices, issue.20, pp.1013-1025, 1996.

D. Voiculescu, Limit laws for Random matrices and free products, Inventiones mathematicae, vol.67, issue.3, pp.201-220, 1991.
DOI : 10.1007/BF01245072