By Herbert Alexander

ISBN-10: 0387982531

ISBN-13: 9780387982533

ISBN-10: 1475771630

ISBN-13: 9781475771633

Many connections were discovered among the idea of analytic services of 1 or extra complicated variables and the research of commutative Banach algebras. whereas functionality conception has usually been hired to reply to algebraic questions similar to the life of idempotents in a Banach algebra, thoughts coming up from the learn of Banach algebras together with the maximal perfect area, the Silov boundary, Geason components, and so on. have ended in new questions and to new equipment of proofs in functionality conception. This publication is worried with constructing a number of the primary functions of functionality conception 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 appropriate fabric is constructed in the textual content. additionally, the booklet bargains with difficulties of uniform approximation on compact subsets of the gap of n advanced variables. The 3rd version of this e-book comprises new fabric on; greatest modulus algebras and subharmonicity, the hull of a soft curve, necessary kernels, perturbations of the Stone-Weierstrass Theorem, obstacles of analytic kinds, polynomial hulls of units over the circle, parts, and the topology of hulls. The authors have additionally integrated a brand new bankruptcy containing commentaries on heritage and up to date advancements and an up to date and extended interpreting list.

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Several Complex Variables and Banach Algebras: 35 (Graduate Texts in Mathematics) by Herbert Alexander


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