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Book Lectures on the Theory of Functions of a Complex Variable

Download or read book Lectures on the Theory of Functions of a Complex Variable written by G. Sansone and published by Springer. This book was released on 1968-01-31 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on the Theory of Functions of Several Complex Variables

Download or read book Lectures on the Theory of Functions of Several Complex Variables written by Bernard Malgrange and published by . This book was released on 1984 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on the Theory of Functions of a Complex Variable

Download or read book Lectures on the Theory of Functions of a Complex Variable written by George Whitelaw Mackey and published by Krieger Publishing Company. This book was released on 1977 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on Several Complex Variables

Download or read book Lectures on Several Complex Variables written by Paul M. Gauthier and published by Springer. This book was released on 2014-11-07 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Book Lectures on Functions of a Complex Variable

Download or read book Lectures on Functions of a Complex Variable written by Wilfred Kaplan and published by . This book was released on 1955 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Several Complex Variables

Download or read book Several Complex Variables written by H. Grauert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued.

Book Lectures on the Theory of Funtions of a Complex Variable

Download or read book Lectures on the Theory of Funtions of a Complex Variable written by Giovanni Sansone and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Holomorphic Functions of Several Variables

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 Several Complex Variables

Download or read book Several Complex Variables written by Raghavan Narasimhan and published by University of Chicago Press. This book was released on 1971 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.

Book Lectures Introductory to the Theory of Functions of Two Complex Variables Delivered to the University of Calcutta During January and February 1913

Download or read book Lectures Introductory to the Theory of Functions of Two Complex Variables Delivered to the University of Calcutta During January and February 1913 written by Andrew Russell Forsyth and published by CUP Archive. This book was released on 1914 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on complex analysis and analytic geometry

Download or read book Lectures on complex analysis and analytic geometry written by Giuseppe Della Sala and published by Edizioni della Normale. This book was released on 2006-10-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of holomorphic functions of several complex variables. It is based on the courses attended by students of mathematics at Scuola Normale Superiore of Pisa. Its treated subjects range from an advanced undergraduate course to a Ph.D. level. The book is largely divided into three parts. The first one, perhaps the most curricular, deals with the domains of holomorphy and their characterizations, through different notions of convexity (holomorphic convexity, Leviconvexity and pseudoconvexity) and the Cauchy-Riemann equation. The extension of this matter to complex spaces, known as the Oka-Cartan theory, is the content of the second part. This theory systematically makes use of the local analytic geometry and of the theory of sheaves and cohomology. The last part deals with the interplay between the theory of topological algebras and the theory of holomorphic functions. Some of the advanced results in the field are overviewed, sometimes without detailed proofs, and (still) open problems are discussed.

Book Boundary Behavior of Holomorphic Functions of Several Complex Variables

Download or read book Boundary Behavior of Holomorphic Functions of Several Complex Variables written by Elias M. Stein and published by . This book was released on 1972 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 differential equations has a recent origin, and Professor Stein's book, which emphasizes the potential-theoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. 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 paperback editions preserve the original texts of these important books while presenting them in durable paperback 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.

Book Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935

Download or read book Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 written by and published by . This book was released on 1973 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: