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Download E-books Several Complex Variables and Banach Algebras (Graduate Texts in Mathematics) PDF

By Herbert Alexander

A improvement of a few of the significant functions of functionality concept in different complicated variables to Banach algebras. The authors don't presuppose any wisdom of numerous complicated variables at the a part of the reader, and all proper fabric is built in the textual content. in addition, the ebook offers with difficulties of uniform approximation on compact subsets of the gap of n complicated variables. This 3rd version includes new fabric on greatest modulus algebras and subharmonicity, the hull of a soft curve, imperative kernels, perturbations of the Stone-Weierstrass Theorem, limitations of analytic types, polynomial hulls of units over the circle, parts, and the topology of hulls. The authors have additionally incorporated a brand new bankruptcy commenting on background and up to date advancements, in addition to an up-to-date and increased analyzing record.

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