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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.
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.
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone!
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone
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