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Author : François Norguet
Publisher : Springer
ISBN 13 : 3540378146
Total Pages : 630 pages
Book Rating : 4.5/5 (43 download)
Download or read book Fonctions de Plusieurs Variables Complexes written by François Norguet and published by Springer. This book was released on 2006-11-15 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : François Norguet
Publisher : Springer
ISBN 13 : 3540357459
Total Pages : 409 pages
Book Rating : 4.5/5 (43 download)
Download or read book Fonctions de Plusieurs Variables Complexes III written by François Norguet and published by Springer. This book was released on 2006-11-15 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Lelong
Publisher : Springer Science & Business Media
ISBN 13 : 3642703445
Total Pages : 283 pages
Book Rating : 4.6/5 (427 download)
Download or read book Entire Functions of Several Complex Variables written by Pierre Lelong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. 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. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.
Author : L. Hormander
Publisher : Elsevier
ISBN 13 : 0444105239
Total Pages : 227 pages
Book Rating : 4.4/5 (441 download)
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
Author : Pierre Dolbeault
Publisher : Birkhäuser
ISBN 13 : 3034884362
Total Pages : 250 pages
Book Rating : 4.0/5 (348 download)
Download or read book Complex Analysis and Geometry written by Pierre Dolbeault and published by Birkhäuser. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "Complex analysis and analytic geometry" from the programme Human Capital and Mobility. For the first event, Mathematicians from Poland, Sweden, United States and France, whose work is particularly related to the one ofP. Lelong have accepted to participate; for the second, the different teams of the Network sent lecturers to report on their most recent works. These teams are from Grenoble, Wuppertal, Berlin, Pisa and Paris VI; in fact, most of their results are also related to Lelong's work and, a posteriori, it is difficult to decide whether a talk is motivated by the first or by the second event. We chose only plenary lectures, usually of one hour, except a small number, given by young mathematicians, which have been shorter. A two hours problem session has been organized. The Proceedings gather papers which are exact texts of the talks, or are closely related to them. The members from the Network and five other lecturers sent us papers; the other lecturers published the content of their talks in mathematical Journals. All the presented texts have been submitted to referees independent of the organizing committee; the texts of the problems have been approved by their authors.
Author : Toshio Nishino
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808160
Total Pages : 388 pages
Book Rating : 4.8/5 (81 download)
Download or read book Function Theory in Several Complex Variables written by Toshio Nishino and published by American Mathematical Soc.. This book was released on 2001 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mountains ... this book is a worthwhile initial step for the reader in order to understand the mathematical world which was created by Kiyoshi Oka.' -- from the Preface. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through to the middle of the twentieth century. In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka. In this volume, Oka's work is divided into two parts. The first is the study of analytic functions in univalent domains in ${\mathbf C}n$. Here Oka proved that three concepts are equivalent: domains of holomorphy, holomorphically convex domains, and pseudoconvex domains; and moreover that the Poincaré problem, the Cousin problems, and the Runge problem, when stated properly, can be solved in domains of holomorphy satisfying the appropriate conditions. The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${\mathbf C}n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${\mathbf C}n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers. This volume is an English translation of the original Japanese edition, published by the University of Tokyo Press (Japan). It would make a suitable course text for advanced graduate level introductions to several complex variables.
Author : Boris Abramovich Fuks
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886441
Total Pages : 402 pages
Book Rating : 4.8/5 (864 download)
Download or read book Theory of Analytic Functions of Several Complex Variables written by Boris Abramovich Fuks and published by American Mathematical Soc.. This book was released on 1963 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vasiliy Sergeyevich Vladimirov
Publisher : Courier Corporation
ISBN 13 : 0486458121
Total Pages : 370 pages
Book Rating : 4.4/5 (864 download)
Download or read book Methods of the Theory of Functions of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov and published by Courier Corporation. This book was released on 2007-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Author : Lars Hörmander
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.4/5 (91 download)
Download or read book An Introduction to Complex Analysis in Several Variables written by Lars Hörmander and published by . This book was released on 1966 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : HENKIN
Publisher : Birkhäuser
ISBN 13 : 3034865376
Total Pages : 227 pages
Book Rating : 4.0/5 (348 download)
Download or read book Theory of Functions on Complex Manifolds written by HENKIN and published by Birkhäuser. This book was released on 2013-11-21 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Schneider
Publisher : Cambridge University Press
ISBN 13 : 9780521770866
Total Pages : 582 pages
Book Rating : 4.7/5 (78 download)
Download or read book Several Complex Variables written by Michael Schneider and published by Cambridge University Press. This book was released on 1999 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Author : Semen G. Gindikin
Publisher : Springer Science & Business Media
ISBN 13 : 3642612636
Total Pages : 257 pages
Book Rating : 4.6/5 (426 download)
Download or read book Several Complex Variables IV written by Semen G. Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. 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.
Author : G. M. Henkin
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112721837
Total Pages : 228 pages
Book Rating : 4.1/5 (127 download)
Download or read book Theory of Functions on Complex Manifolds written by G. M. Henkin and published by Walter de Gruyter GmbH & Co KG. This book was released on 1984-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Theory of Functions on Complex Manifolds".
Author : Luogeng Hua
Publisher : American Mathematical Soc.
ISBN 13 : 0821815563
Total Pages : 192 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains written by Luogeng Hua and published by American Mathematical Soc.. This book was released on 1963-12-31 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl H. FitzGerald
Publisher : World Scientific
ISBN 13 : 9789812702500
Total Pages : 360 pages
Book Rating : 4.7/5 (25 download)
Download or read book Geometric Function Theory in Several Complex Variables written by Carl H. FitzGerald and published by World Scientific. This book was released on 2004 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.
Author : So-chin Chen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821829615
Total Pages : 396 pages
Book Rating : 4.8/5 (296 download)
Download or read book Partial Differential Equations in Several Complex Variables written by So-chin Chen and published by American Mathematical Soc.. This book was released on 2001 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables. After the background material in complex analysis is developed in Chapters 1 to 3, thenext three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \bar\partial-Neumann problem, including Hórmander's L2 existence progress on the globalregularity and irregularity of the \bar\partial-Neumann operators. The second part of the book gives a comprehensive study of the tangential Cauchy-Riemann equations, another important class of equations in several complex variables first studied by Lewy. An up-to-date account of the L2 theory for \bar\partial b operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Hölder and L2spaces. Embeddability of abstract CR structures is discussed in detail here for the first time.Titles in this series are co-published with International Press, Cambridge, MA.
Author : Sheng Gong
Publisher : World Scientific
ISBN 13 : 9814481912
Total Pages : 353 pages
Book Rating : 4.8/5 (144 download)
Download or read book Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and published by World Scientific. This book was released on 2004-09-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.
