Download or read book Analytic and Plurisubharmonic Functions written by Michel Herve and published by . This book was released on 2014-01-15 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic and Plurisubharmonic Functions written by Michel Herve and published by Springer. This book was released on 2006-11-15 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic and Plurisubharmonic Functions in Finite and Infinite Dimensional Spaces written by Michel A. Hervé and published by . This book was released on 1971 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Capacities in Complex Analysis written by Urban Cegrell and published by Springer-Verlag. This book was released on 2013-11-21 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Chapters in the Theory of Analytic Functions of Several Complex Variables written by B. A. Fuks and published by American Mathematical Soc.. This book was released on 1965-12-31 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Growth properties of analytic and plurisubharmonic functions of finite order written by Ragnar Sigurdsson and published by . This book was released on 1984 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plurisubharmonic Functions and Positive Differential Forms written by Pierre Lelong and published by Taylor & Francis Group. This book was released on 1969 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Functions written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 2015-12-08 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations of complex analytic manifolds. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Analytic Functions written by and published by . This book was released on 1960 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic and Plurisubharmonic Functions in Finite and Infinite Dimensional Spaces written by Charles J. Mozzochi and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Functions and Manifolds in Infinite Dimensional Spaces written by and published by Elsevier. This book was released on 2011-08-26 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Functions and Manifolds in Infinite Dimensional Spaces
Download or read book Analytic and plurisubharmonic functions in finite and infinite dimensional spaces written by Michel Hervé and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Several Complex Variables II written by G.M. Khenkin and published by Springer. This book was released on 2012-03-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several 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. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.
Download or read book Complex Analytic Sets written by E.M. Chirka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex analytic sets is part of the modern geometrical theory of functions of several complex variables. A wide circle of problems in multidimensional complex analysis, related to holomorphic functions and maps, can be reformulated in terms of analytic sets. In these reformulations additional phenomena may emerge, while for the proofs new methods are necessary. (As an example we can mention the boundary properties of conformal maps of domains in the plane, which may be studied by means of the boundary properties of the graphs of such maps.) The theory of complex analytic sets is a relatively young branch of complex analysis. Basically, it was developed to fulfill the need of the theory of functions of several complex variables, but for a long time its development was, so to speak, within the framework of algebraic geometry - by analogy with algebraic sets. And although at present the basic methods of the theory of analytic sets are related with analysis and geometry, the foundations of the theory are expounded in the purely algebraic language of ideals in commutative algebras. In the present book I have tried to eliminate this noncorrespondence and to give a geometric exposition of the foundations of the theory of complex analytic sets, using only classical complex analysis and a minimum of algebra (well-known properties of polynomials of one variable). Moreover, it must of course be taken into consideration that algebraic geometry is one of the most important domains of application of the theory of analytic sets, and hence a lot of attention is given in the present book to algebraic sets.
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.
Download or read book Introduction to the Theory of Entire Functions of Several Variables written by Lev Isaakovich Ronkin and published by American Mathematical Soc.. This book was released on 1974 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
