Geodesic
A "Fourier transform" for multiplicative functions on non-crossing partitions
Journal of Algebraic Combinatorics, Tome 6 (1997) no. 2, pp. 141-160.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We describe the structure of the group of normalized multiplicative functions on lattices of non-crossing partitions. As an application, we give a combinatorial proof of a theorem of D. Voiculescu concerning the multiplication of free random variables
Keywords: non-crossing partition, moebius function, free random variables 
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     title = {A {"Fourier} transform" for multiplicative functions on non-crossing partitions},
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Nica, Alexandru; Speicher, Roland. A "Fourier transform" for multiplicative functions on non-crossing partitions. Journal of Algebraic Combinatorics, Tome 6 (1997) no. 2, pp. 141-160. http://geodesic.mathdoc.fr/item/JAC_1997__6_2_a2/