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Introduction To Holomorphy
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Book Synopsis Introduction to Holomorphy by : J.A. Barroso
Download or read book Introduction to Holomorphy written by J.A. Barroso and published by Elsevier. This book was released on 2000-04-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.
Author :Christine Laurent-Thiébaut Publisher :Springer Science & Business Media ISBN 13 :0857290304 Total Pages :255 pages Book Rating :4.8/5 (572 download)
Book Synopsis Holomorphic Function Theory in Several Variables by : Christine Laurent-Thiébaut
Download or read book Holomorphic Function Theory in Several Variables written by Christine Laurent-Thiébaut and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.
Book Synopsis Introduction to Holomorphic Functions of Several Variables Vol. III : Homological Theory by : Robert C. Gunning
Download or read book Introduction to Holomorphic Functions of Several Variables Vol. III : Homological Theory written by Robert C. Gunning and published by Chapman and Hall/CRC. This book was released on 1990-08-02 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Holomorphic Functions of Several Variables, Volume II by : R.C. Gunning
Download or read book Introduction to Holomorphic Functions of Several Variables, Volume II written by R.C. Gunning and published by Routledge. This book was released on 2018-05-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Holomorphic Functions and Integral Representations in Several Complex Variables by : R. Michael Range
Download or read book Holomorphic Functions and Integral Representations in Several Complex Variables written by R. Michael Range and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Holomorphic Functions of Several Variables by : Ludger Kaup
Download or read book Holomorphic Functions of Several Variables written by Ludger Kaup and published by Walter de Gruyter. This book was released on 2011-05-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
Book Synopsis Introduction to Holomorphic Functions of Several Variables by : R.C. Gunning
Download or read book Introduction to Holomorphic Functions of Several Variables written by R.C. Gunning and published by CRC Press. This book was released on 1990-05-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Holomorphic Dynamics by : S. Morosawa
Download or read book Holomorphic Dynamics written by S. Morosawa and published by Cambridge University Press. This book was released on 2000-01-13 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.
Book Synopsis Introduction to Holomorphic Functions of Several Variables, Volume I by : R.C. Gunning
Download or read book Introduction to Holomorphic Functions of Several Variables, Volume I written by R.C. Gunning and published by Routledge. This book was released on 2018-05-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis From Holomorphic Functions to Complex Manifolds by : Klaus Fritzsche
Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebras of Holomorphic Functions and Control Theory by : Amol Sasane
Download or read book Algebras of Holomorphic Functions and Control Theory written by Amol Sasane and published by Courier Corporation. This book was released on 2013-04-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
Book Synopsis Holomorphic Functions in the Plane and n-dimensional Space by : Klaus Gürlebeck
Download or read book Holomorphic Functions in the Plane and n-dimensional Space written by Klaus Gürlebeck and published by Springer Science & Business Media. This book was released on 2007-11-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Holomorphic Automorphism Groups in Banach Spaces by : J.M. Isidro
Download or read book Holomorphic Automorphism Groups in Banach Spaces written by J.M. Isidro and published by Elsevier. This book was released on 2011-08-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic Automorphism Groups in Banach Spaces
Book Synopsis The Restricted Three-Body Problem and Holomorphic Curves by : Urs Frauenfelder
Download or read book The Restricted Three-Body Problem and Holomorphic Curves written by Urs Frauenfelder and published by Springer. This book was released on 2018-08-29 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019
Book Synopsis J-holomorphic Curves and Symplectic Topology by : Dusa McDuff
Download or read book J-holomorphic Curves and Symplectic Topology written by Dusa McDuff and published by American Mathematical Soc.. This book was released on 2012 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.
Book Synopsis Dirichlet Series and Holomorphic Functions in High Dimensions by : Andreas Defant
Download or read book Dirichlet Series and Holomorphic Functions in High Dimensions written by Andreas Defant and published by Cambridge University Press. This book was released on 2019-08-08 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
Book Synopsis An Introduction to Complex Analysis in Several Variables by : L. Hormander
Download or read book An Introduction to Complex Analysis in Several Variables written by L. Hormander and published by Elsevier. This book was released on 1973-02-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Complex Analysis in Several Variables
