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.
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.
Автор: Alan Howard; Pit-Mann Wong Название: Contributions to Several Complex Variables ISBN: 3528089644 ISBN-13(EAN): 9783528089641 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Pei-Chu Hu; Chung-Chun Yang Название: Differentiable and Complex Dynamics of Several Variables ISBN: 079235771X ISBN-13(EAN): 9780792357711 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Paul M. Gauthier Название: Lectures on Several Complex Variables ISBN: 3319376047 ISBN-13(EAN): 9783319376042 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: ГЇВїВЅ ГЇВїВЅ ГЇВїВЅ 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.
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: J?rgen Leiterer; Semen G. Gindikin; Dmitrij N. Akh Название: Several Complex Variables IV ISBN: 3642647669 ISBN-13(EAN): 9783642647666 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.
Автор: G.M. Khenkin; Jaak Peetre; I.M. Dektyarev; O.M. Kh Название: Several Complex Variables III ISBN: 3642647855 ISBN-13(EAN): 9783642647857 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1.
Автор: Pierre Lelong; Lawrence Gruman Название: Entire Functions of Several Complex Variables ISBN: 3642703461 ISBN-13(EAN): 9783642703461 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: L.A. Aizenberg; P.M. Gauthier; G.M. Khenkin; A.G. Название: Several Complex Variables II ISBN: 3642633919 ISBN-13(EAN): 9783642633911 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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