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Several complex variables and banach algebras线性模型和逻辑斯缔回归 第2版

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Several complex variables and banach algebras线性模型和逻辑斯缔回归 第2版

最 低 价：￥703.80

定 价：￥782.00

作 者：HerbertAlexander　著 著

出 版 社：

出版时间：1997-11-1

I S B N：9780387982533

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    内容简介
    Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. have led to new questions and to new methods of proofs in function theory. This book is concerned with developing 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. The third edition of this book 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 containing commentaries on history and recent developments and an updated and expanded reading list.

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    目录
    Preface to the Second Edition
    Preface to the Third Edition
    Chapter 1 Preliminaries and Notation
    Chapter 2 Classical Approximation Theorems
    Chapter 3 Operational Calculus in One Variable
    Chapter 4 Differential Forms
    Chapter 5 The XXX-Operator
    Chapter 6 The Equation XXXu = f
    Chapter 7 The Oka-Weil Theorem
    Chapter 8 Operational Calculus in Several Variables
    Chapter 9 The Silov Boundary
    Chapter 10 Maximality and Rado's Theorem
    Chapter 11 Maximum Modulus Algebras
    Chapter 12 Hulls of Curves and Arcs
    Chapter 13 Integral Kernels
    Chapter 14 Perturbations of the Stone-Weierstrass Theorem
    Chapter 15 The First Cohomology Group of a Maximal Ideal Space
    Chapter 16 The XXX-Operator in Smoothly Bounded Domains
    Chapter 17 Manifolds Without Complex Tangents
    Chapter 18 Submanifolds of High Dimension
    Chapter 19 Boundaries of Analytic Varieties
    Chapter 20 Polynomial Hulls of Sets Over the Circle
    Chapter 21 Areas
    Chapter 22 Topology of Hulls
    Chapter 23 Pseudoconvex sets in C(n)
    Chapter 24 Examples
    Chapter 25 Historical Comments and Recent Developments
    Chapter 26 Appendix
    Chapter 27 Solutions to Some Exercises
    Bibliography
    Index

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