Memoirs of the American Mathematical Society 1994; 68 pp; softcover Volume: 110 ISBN10: 0821825941 ISBN13: 9780821825945 List Price: US$36 Individual Members: US$21.60 Institutional Members: US$28.80 Order Code: MEMO/110/531
 This work presents a detailed study of the anisotropic series representations of the free product group \(\mathbf Z/2\mathbf Z\star \cdots \star \mathbf Z/2\mathbf Z\). These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators. Readership Research mathematicians. Table of Contents  Introduction
 The Green function
 The Spectrum and the Plancherel measure
 Representations and their realization on the boundary
 Irreducibility and inequivalence
 References
