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Several Complex Variables and Banach Algebras, Herbert Alexander; John Wermer


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Автор: Herbert Alexander; John Wermer
Название:  Several Complex Variables and Banach Algebras
ISBN: 9781475771633
Издательство: Springer
Классификация: ISBN-10: 1475771630
Обложка/Формат: Paperback
Страницы: 256
Вес: 0.39 кг.
Дата издания: 20.04.2013
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.


Several Complex Variables. Maryland 1970. Proceedings of the International Mathematical Conference, Held at College Park, April 6-17, 1970

Автор: John Horvath
Название: Several Complex Variables. Maryland 1970. Proceedings of the International Mathematical Conference, Held at College Park, April 6-17, 1970
ISBN: 3540053727 ISBN-13(EAN): 9783540053729
Издательство: Springer
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Цена: 5583.00 р.
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Several Complex Variables

Автор: KOHN; LU; REMMERT; SIU
Название: Several Complex Variables
ISBN: 0817631895 ISBN-13(EAN): 9780817631895
Издательство: Springer
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Цена: 11173.00 р.
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Contributions to Several Complex Variables

Автор: Alan Howard; Pit-Mann Wong
Название: Contributions to Several Complex Variables
ISBN: 3528089644 ISBN-13(EAN): 9783528089641
Издательство: Springer
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Цена: 12157.00 р.
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Описание: In 1960 Wilhelm Stoll joined the University of Notre Dame faculty as Professor of Mathematics, and in October, 1984 the university acknowledged his many years of distinguished service by holding a conference in complex analysis in his honour.

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Lectures on Several Complex Variables

Автор: Paul M. Gauthier
Название: Lectures on Several Complex Variables
ISBN: 3319115103 ISBN-13(EAN): 9783319115108
Издательство: Springer
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Цена: 11179.00 р.
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Описание: ​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Universit de Montr al, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises.

Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3764352825 ISBN-13(EAN): 9783764352820
Издательство: Springer
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Цена: 23751.00 р.
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Описание: This volume provides a detailed description of important geometric settings encountered in multi-variable complex analysis. There is a thorough exposition of the harmonic analysis background, and treatment of topics of current interest.

Differentiable and Complex Dynamics of Several Variables

Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Differentiable and Complex Dynamics of Several Variables
ISBN: 079235771X ISBN-13(EAN): 9780792357711
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Presents a comprehensive survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics.

Several Complex Variables

Автор: H. Grauert; K. Fritzsche
Название: Several Complex Variables
ISBN: 1461298768 ISBN-13(EAN): 9781461298762
Издательство: Springer
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Цена: 11173.00 р.
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Several Complex Variables IV

Автор: J?rgen Leiterer; Semen G. Gindikin; Dmitrij N. Akh
Название: Several Complex Variables IV
ISBN: 3642647669 ISBN-13(EAN): 9783642647666
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This volume of the EMS contains four survey articles on analytic spaces. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.

Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. (MN-38)

Автор: Fornaess John Erik
Название: Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. (MN-38)
ISBN: 069160133X ISBN-13(EAN): 9780691601335
Издательство: Wiley
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Цена: 6653.00 р.
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Описание: There was a special year devoted to the topic of several complex variables at the Mittag-Leffler Institute in Stockholm, Sweden, and this volume contains the resulting survey papers and research papers. The work covers a broad spectrum of developments in this field. The contributors include H. Alexander; F. Almgren; E. Almar; M. Andersson; E. Bedfo

Several Complex Variables II

Автор: L.A. Aizenberg; P.M. Gauthier; G.M. Khenkin; A.G.
Название: Several Complex Variables II
ISBN: 3642633919 ISBN-13(EAN): 9783642633911
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others.

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431545700 ISBN-13(EAN): 9784431545705
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.


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