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Approximation of Functions of Several Variables and Imbedding Theorems, J.M. Danskin; S.M. Nikol`skii


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Автор: J.M. Danskin; S.M. Nikol`skii
Название:  Approximation of Functions of Several Variables and Imbedding Theorems
ISBN: 9783642657139
Издательство: Springer
Классификация:

ISBN-10: 3642657133
Обложка/Формат: Paperback
Страницы: 420
Вес: 0.60 кг.
Дата издания: 15.11.2011
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 22
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This English translation of my book PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya is identical in content with the Rus- sian original, published by Nauka in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan- skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func- tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, Integral Represen- tations of Functions and Imbedding Theorems, by O. V. Besov, V. P. Ilin, and myself, has just (May 1975) been published, by the publishing house Nauka, in Moscow. Moscow, U.S.S.R., May 1975 S. M. Nikolskir Translators Note I am very grateful to Professor Nikolskir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikolskir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable.


Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

Автор: Shoumei Li; Y. Ogura; V. Kreinovich
Название: Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
ISBN: 9048161398 ISBN-13(EAN): 9789048161393
Издательство: Springer
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Цена: 13974.00 р.
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Описание: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

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.

Functions of several real variables

Автор: Moskowitz, Martin Paliogiannis, Fotios
Название: Functions of several real variables
ISBN: 981429926X ISBN-13(EAN): 9789814299268
Издательство: World Scientific Publishing
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Цена: 19483.00 р.
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Описание: Describes the basics of the geometry and topology of Euclidean space and the main topics in the theory of functions of several real variables including limits, differentiation and integration. This title discusses advanced topics, such as Morse`s lemma, Brouwer`s fixed point theorem, Picard`s theorem and the Weierstrass approximation theorem.

Holomorphic Functions and Integral Representations in Several Complex Variables

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: 10335.00 р.
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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.

Functions of Several Variables

Автор: Wendell Fleming
Название: Functions of Several Variables
ISBN: 1468494635 ISBN-13(EAN): 9781468494631
Издательство: Springer
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Цена: 8378.00 р.
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Описание: This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds.

Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11):

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: 4752.00 р.
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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

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.

Entire Functions of Several Complex Variables

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: 12577.00 р.
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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.


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