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Author: Robert M. Brooks
Publisher: Springer
ISBN: 3540364552
Category : Mathematics
Languages : en
Pages : 244
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Book Description
This volume contains articles based on talks given at the Symposium on several complex variables, Park City, March 30 - April 3, 1970. The papers herein represent a broad spectrum of mathematical research (e.g. function algebras, sheaf theory, differential operators, manifolds) but are related by the fact that they are all related to some degree to the area of several complex variables.
Author: Robert M. Brooks
Publisher: Springer
ISBN: 3540364552
Category : Mathematics
Languages : en
Pages : 244
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Book Description
This volume contains articles based on talks given at the Symposium on several complex variables, Park City, March 30 - April 3, 1970. The papers herein represent a broad spectrum of mathematical research (e.g. function algebras, sheaf theory, differential operators, manifolds) but are related by the fact that they are all related to some degree to the area of several complex variables.
Author: Robert M. Brooks
Publisher:
ISBN: 9783662191637
Category :
Languages : en
Pages : 248
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Book Description
Author: Herbert Alexander
Publisher: Springer Science & Business Media
ISBN: 0387225862
Category : Mathematics
Languages : en
Pages : 265
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Book Description
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.
Author: John Wermer
Publisher: Springer Science & Business Media
ISBN: 1475738781
Category : Mathematics
Languages : en
Pages : 169
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Book Description
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.
Author: H. T Ku
Publisher: Springer
ISBN: 3540380663
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Author: A. Dold
Publisher: Springer
ISBN: 1489945814
Category : Mathematics
Languages : en
Pages : 82
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Book Description
Author: Michel Herve
Publisher: Springer
ISBN: 3540366547
Category : Mathematics
Languages : en
Pages : 98
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Book Description
Author: Theodore W. Gamelin
Publisher: American Mathematical Soc.
ISBN: 9780821840498
Category : Mathematics
Languages : en
Pages : 292
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Book Description
From the Preface: ``The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions ... [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as ``peak points'' and ``parts,'' provide new insights into the classical theory of approximation by analytic functions. In some cases, elegant proofs of old results are obtained by abstract methods. The new concepts also lead to new problems in classical function theory, which serve to enliven and refresh that subject. In short, the relation between functional analysis and the analytic theory is both fascinating and complex, and it serves to enrich and deepen each of the respective disciplines.'' This volume includes a Bibliography, List of Special Symbols, and an Index. Each of the chapters is followed by notes and numerous exercises.
Author: Saunders Mac Lane
Publisher: Springer
ISBN: 3540379584
Category : Mathematics
Languages : en
Pages : 247
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Book Description
Author: Karl H. Hofmann
Publisher: Springer
ISBN: 3540371818
Category : Mathematics
Languages : en
Pages : 669
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Book Description
