Several Complex Variables III, G.M. Khenkin; Jaak Peetre; I.M. Dektyarev; O.M. Kh

Автор: Pierre Lelong; Lawrence Gruman
Название: Entire Functions of Several Complex Variables
ISBN: 3642703461 ISBN-13(EAN): 9783642703461
Издательство: Springer
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Цена: 83850.00 T
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Описание: The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp- totic growth or optimal solutions in some sense.

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: 111790.00 T
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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.

Автор: C.A. Berenstein; G.M. Khenkin; G.M. Khenkin; A.Yu.
Название: Several Complex Variables V
ISBN: 3642634338 ISBN-13(EAN): 9783642634338
Издательство: Springer
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Цена: 79190.00 T
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Описание: This volume of the Encyclopaedia contains three contributions in the field of complex analysis; It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.

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: 97820.00 T
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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.

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3034899602 ISBN-13(EAN): 9783034899604
Издательство: Springer
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Цена: 158340.00 T
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Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.

Автор: R. Michael Range
Название: Holomorphic Functions and Integral Representations in Several Complex Variables
ISBN: 1441930787 ISBN-13(EAN): 9781441930781
Издательство: Springer
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Цена: 68900.00 T
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Описание: The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu- lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ- ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com- plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

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: 44350.00 T
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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

Автор: Stein Elias M.
Название: Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11):
ISBN: 0691620113 ISBN-13(EAN): 9780691620114
Издательство: Wiley
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Цена: 31680.00 T
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Описание: This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial different

Автор: Paul M. Gauthier
Название: Lectures on Several Complex Variables
ISBN: 3319115103 ISBN-13(EAN): 9783319115108
Издательство: Springer
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Цена: 74530.00 T
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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.