Articoli correlati a Several Complex Variables and Banach Algebras: 35
Several Complex Variables and Banach Algebras: 35 - Brossura
Libro 59 di 180: Graduate Texts in Mathematics
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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Several Complex Variables and Banach Algebras (eng)
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Several Complex Variables and Banach Algebras (Graduate Texts in Mathematics, 35)
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Several Complex Variables and Banach Algebras
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 272 pp. Englisch. Codice articolo 9781475771633
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes a wealth of new material developed since the previous editionRaises new questions and new methods of proofs in function theoryThe authors are well known and have written other Springer titlesThis book is concerned with . Codice articolo 4207718
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Codice articolo 9781475771633
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Several Complex Variables and Banach Algebras
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch. Codice articolo 9781475771633
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Taschenbuch. Condizione: Neu. Several Complex Variables and Banach Algebras | Herbert Alexander (u. a.) | Taschenbuch | Graduate Texts in Mathematics | xii | Englisch | 2013 | Springer | EAN 9781475771633 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 105651080
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