Abstract
In this paper, we introduce the notions of the q-Duhamel product and q-integration operator. We prove that the classical Wiener algebra of all analytic functions on the unit disc of the complex plane with absolutely convergent Taylor series extended to the boundary is a Banach algebra with respect to the q-Duhamel product. We also describe the cyclic vectors of the q-integration operator on and characterize its commutant in terms of the q-Duhamel product operators.