Holomorphic Functions In The Plane And N Dimensional Space PDF Download
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Author | : Klaus Gürlebeck |
Publisher | : Springer Science & Business Media |
Total Pages | : 407 |
Release | : 2007-11-16 |
Genre | : Mathematics |
ISBN | : 3764382716 |
Download Holomorphic Functions in the Plane and n-dimensional Space Book in PDF, ePub and Kindle
Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.
Author | : T.V. Tonev |
Publisher | : Elsevier |
Total Pages | : 313 |
Release | : 1992-03-02 |
Genre | : Mathematics |
ISBN | : 0080872832 |
Download Big-Planes, Boundaries and Function Algebras Book in PDF, ePub and Kindle
Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.
Author | : Marek Jarnicki |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 455 |
Release | : 2020-05-05 |
Genre | : Mathematics |
ISBN | : 3110627698 |
Download Extension of Holomorphic Functions Book in PDF, ePub and Kindle
This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
Author | : Boris Abramovich Fuks |
Publisher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 1963 |
Genre | : Mathematics |
ISBN | : 9780821886441 |
Download Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : O. Lehto |
Publisher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461386527 |
Download Univalent Functions and Teichmüller Spaces Book in PDF, ePub and Kindle
This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at the University of Minnesota in 1982. The book presumably would never have been written without Fred Gehring's continuous encouragement. Thanks to the arrangements made by Edgar Reich and David Storvick, I was able to spend the fall term of 1982 in Minneapolis and do a good part of the writing there. Back in Finland, other commitments delayed the completion of the text. At the final stages of preparing the manuscript, I was assisted first by Mika Seppala and then by Jouni Luukkainen, who both had a grant from the Academy of Finland. I am greatly indebted to them for the improvements they made in the text. I also received valuable advice and criticism from Kari Astala, Richard Fehlmann, Barbara Flinn, Fred Gehring, Pentti Jarvi, Irwin Kra, Matti Lehtinen, I1ppo Louhivaara, Bruce Palka, Kurt Strebel, Kalevi Suominen, Pekka Tukia and Kalle Virtanen. To all of them I would like to express my gratitude. Raili Pauninsalo deserves special thanks for her patience and great care in typing the manuscript. Finally, I thank the editors for accepting my text in Springer-Verlag's well known series. Helsinki, Finland June 1986 Olli Lehto Contents Preface. ... v Introduction ...
Author | : James Carlson |
Publisher | : Cambridge University Press |
Total Pages | : 577 |
Release | : 2017-08-24 |
Genre | : Mathematics |
ISBN | : 1108422624 |
Download Period Mappings and Period Domains Book in PDF, ePub and Kindle
An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
Author | : Klaus Fritzsche |
Publisher | : Springer Science & Business Media |
Total Pages | : 406 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 146849273X |
Download From Holomorphic Functions to Complex Manifolds Book in PDF, ePub and Kindle
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Author | : R.C. Gunning |
Publisher | : Routledge |
Total Pages | : 136 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 1351436937 |
Download Introduction to Holomorphic Functions of Several Variables, Volume I Book in PDF, ePub and Kindle
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
Author | : T.L. Hayden |
Publisher | : Springer |
Total Pages | : 223 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540379150 |
Download Proceedings on Infinite Dimensional Holomorphy Book in PDF, ePub and Kindle
Author | : Boris Vladimirovich Shabat |
Publisher | : American Mathematical Soc. |
Total Pages | : 236 |
Release | : 1985-12-31 |
Genre | : Mathematics |
ISBN | : 9780821898116 |
Download Distribution of Values of Holomorphic Mappings Book in PDF, ePub and Kindle
A vast literature has grown up around the value distribution theory of meromorphic functions, synthesized by Rolf Nevanlinna in the 1920s and singled out by Hermann Weyl as one of the greatest mathematical achievements of this century. The multidimensional aspect, involving the distribution of inverse images of analytic sets under holomorphic mappings of complex manifolds, has not been fully treated in the literature. This volume thus provides a valuable introduction to multivariate value distribution theory and a survey of some of its results, rich in relations to both algebraic and differential geometry and surely one of the most important branches of the modern geometric theory of functions of a complex variable. Since the book begins with preparatory material from the contemporary geometric theory of functions, only a familiarity with the elements of multidimensional complex analysis is necessary background to understand the topic. After proving the two main theorems of value distribution theory, the author goes on to investigate further the theory of holomorphic curves and to provide generalizations and applications of the main theorems, focusing chiefly on the work of Soviet mathematicians.