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Several Complex Variables and Banach Algebras
Buch
Buch
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Fachbuch
1997

Several Complex Variables and Banach Algebras

ISBN
EAN
978-0-387-98253-3
9780387982533
Artikel-Nr.
6D42Q4Y
Kostenloser Versand
CHF
109.13
Anzahl
1
Maximale
Lieferzeit
13
Arbeitstage
Donnerstag
14.10.2021
speech-bubble-svg Beschreibung
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.
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Stichwörter
Banach algebra
Cohomology
Pseudoconvexity
algebra
maximum
subharmonic function
Zielgruppe
Graduate
Inhaltsverzeichnis
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 Šilov Boundary.- Maximality and Radó’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.
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Herausgeber/-innen
Publikation
Vereinigte Staaten
3. Auflage -
20.11.1997
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Sprache
Englisch
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Hardcover
256 Seiten
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Kostenloser Versand: Schweiz & Liechtenstein
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Unterkategorie
Analysis
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