Irreducible representations of the free product of groups Waldemar HebischWojciech Mlotkowski 43A6546L1020E06free productirreducible representation We study some properties, such as uniform boundedness, unitarity and irreducibility, of a class of representations of the free product of groups. In particular we show that the spherical functions on the free product of two groups, introduced by Cartwright and Soardi, are coefficients of irreducible representations. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.3739 10.1512/iumj.2010.59.3739 en Indiana Univ. Math. J. 59 (2010) 131 - 182 state-of-the-art mathematics http://iumj.org/access/