A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. This third edition contains new material on maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter commenting on history and recent developments, as well as an updated and expanded reading list.
- ISBN13 9780387982533
- Publish Date 20 November 1997 (first published 1 January 1997)
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 3rd ed. 1998
- Format Hardcover
- Pages 256
- Language English