From the reviews: "This is a useful, self-contained introduction to the Banach algebra of convolution operators on a locally compact group G ... . It is the first book dedicated to this topic, gathering results mainly due to Herz and, among others, to Lohoue and the author of the book. Many references on related topics are given in the notes." (Francoise Lust-Piquard, Mathematical Reviews, Issue 2012 e)

• 1 Elementary Results.- 2 An Approximation Theorem for CV2(G).- 3 The Figa-Talamanca Herz Algebra.- 4 The Dual of Ap(G).- 5 CVp(G) as a Module on Ap(G).- 6 The Support of a Convolution Operator.- 7 Convolution Operators Supported by Subgroups.- 8 CVp(G) as a Subspace of CV2(G).