During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. have led to new questions and to new methods of proof in function theory. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch. The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. For n > I no complete theory exists but many important particular problems have been solved. Throughout, our aim has been to make the exposition elementary and self-contained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas.
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Book by Wermer John
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Da: MW Books, New York, NY, U.S.A.
2nd edition. Fine copy in the original colour-printed boards. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; 161 pp. Notes; Graduate texts in mathematics series, 35. Includes bibliographical b222breferences (157-160) and index. Contents; 1. Preliminaries and Notations -- 2. Classical Approximation Theorems -- 3. Operational Calculus in One Variable -- 4. Differential Forms -- 5. The ??-Operator -- 6. The Equation ??u = -- 7. The OkaWeil Theorem -- 8. Operational Calculus in Several Variables -- 9. The ilov Boundary -- 10. Maximality and Radó's Theorem -- 11. Analytic Structure -- 12. Algebras of Analytic Functions -- 13. Approximation on Curves in Cn -- 14. Uniform Approximation on Disks in Cn -- 15. The First Cohomology Group of a Maximal Ideal Space -- 16. The ??-Operator in Smoothly Bounded Domains -- 17. Manifolds without Complex Tangents -- 18. Submanifolds of High Dimension -- 19. Generators -- 20. The Fibers over a Plane Domain -- 21. Examples of Hulls -- 22. Solutions to Some Exercises. Subjects; Banach algebras. Functions of several complex variables. Mathematics. 1 Kg. Codice articolo 385168
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Da: MW Books Ltd., Galway, Irlanda
2nd edition. Fine copy in the original colour-printed boards. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; 161 pp. Notes; Graduate texts in mathematics series, 35. Includes bibliographical b222breferences (157-160) and index. Contents; 1. Preliminaries and Notations -- 2. Classical Approximation Theorems -- 3. Operational Calculus in One Variable -- 4. Differential Forms -- 5. The ??-Operator -- 6. The Equation ??u = -- 7. The OkaWeil Theorem -- 8. Operational Calculus in Several Variables -- 9. The ilov Boundary -- 10. Maximality and Radó's Theorem -- 11. Analytic Structure -- 12. Algebras of Analytic Functions -- 13. Approximation on Curves in Cn -- 14. Uniform Approximation on Disks in Cn -- 15. The First Cohomology Group of a Maximal Ideal Space -- 16. The ??-Operator in Smoothly Bounded Domains -- 17. Manifolds without Complex Tangents -- 18. Submanifolds of High Dimension -- 19. Generators -- 20. The Fibers over a Plane Domain -- 21. Examples of Hulls -- 22. Solutions to Some Exercises. Subjects; Banach algebras. Functions of several complex variables. Mathematics. 1 Kg. Codice articolo 385168
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Da: Anybook.com, Lincoln, Regno Unito
Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:0387901604. Codice articolo 5841884
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Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
Cloth/Laminated Boards. Condizione: Very Good. Second Edition. Type: Book N.B. Small label to front paste down. Boards a little marked. Foxing to pages edges. Codice articolo 051766
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Da: CSG Onlinebuch GMBH, Darmstadt, Germania
gebunden. Condizione: Gut. Gebraucht - Gut ausgesondertes Bibliotheksexemplar mit den üblichen Signaturen, Codice articolo 39754
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