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.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0161-1712

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1986 Hindawi Publishing Company, All rights reserved.

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