International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 1, Pages 39-46
doi:10.1155/S0161171286000054

Banach spaces of functions analytic in a polydisc

Abstract

This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed. The space of linear functionals for the Banach space of functions analytic in the open unit polydisc and continuous on the unit torus is then described in terms of analytic functions using an extension of the Hadamard product.