Several complex variables and Banach algebras
著者
書誌事項
Several complex variables and Banach algebras
（Graduate texts in mathematics, 35）
Springer, c1998
3rd ed
- : softcover
大学図書館所蔵 件 / 全85件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Rev. ed. of: Banach algebras and several complex variables / John Wermer. 2nd ed. 1976
Includes bibliographical references and index
"Softcover reprint of the hardcover 3rd edition 1998" -- T.p. verso of softcover
内容説明・目次
内容説明
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.
目次
Preliminaries and Notation.- Classical Approximation Theorems.- Operational Calculus in One Variable.- Differential Forms.- The -Operator.- The Equation .- The Oka-Weil Theorem.- Operational Calculus in Several Variables.- The Silov Boundary.- Maximality and Rado's Theorem.- Maximum Modulus Algebras.- Hulls of Curves and Arcs.- Integral Kernels.- Perturbations of the Stone?Weierstrass Theorem.- The First Cohomology Group of a Maximal Ideal Space.- The -Operator in Smoothly Bounded Domains.- Manifolds Without Complex Tangents.- Submanifolds of High Dimension.- Boundaries of Analytic Varieties.- Polynomial Hulls of Sets Over the Circle.- Areas.- Topology of Hulls.- Pseudoconvex sets in ?n.- Examples.- Historical Comments and Recent Developments.- Solutions to Some Exercises.
「Nielsen BookData」 より
