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.
L. M. Hall, "Banach Spaces of Functions Analytic in a Polydisc," International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Company, Jan 1986.
The definitive version is available at https://doi.org/10.1155/S0161171286000054
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
© 1986 Hindawi Publishing Company, All rights reserved.
01 Jan 1986