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Tuesday, August 4, 2020 | History

9 edition of Holomorphic functions of several variables found in the catalog.

Holomorphic functions of several variables

an introduction to the fundamental theory

by Ludger Kaup

  • 93 Want to read
  • 30 Currently reading

Published by W. de Gruyter in Berlin, New York .
Written in English

    Subjects:
  • Holomorphic functions.

  • Edition Notes

    StatementLudger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland.
    SeriesDe Gruyter studies in mathematics ;, 3
    ContributionsKaup, Burchard, 1940-, Barthel, Gottfried.
    Classifications
    LC ClassificationsQA331 .K374 1983
    The Physical Object
    Paginationxiii, 349 p. ;
    Number of Pages349
    ID Numbers
    Open LibraryOL3168063M
    ISBN 103110041502
    LC Control Number83010120

    Stein, Boundary behavior of holomorphic functions of several complex variables, Princeton Univ. Press, Princeton, NJ, Zentralblatt MATH: Introduction to Holomorphlc Functions of SeveralVariables, Volumes provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. I tried to use the Weierstrass preparation theorem because it’s the only result on analysis of several variables I know but I couldn’t find a contradiction (I believe the answer is “no”). complex-analysis.

    Special emphasis is put on the new precise results on the L2 extension of holomorphic functions in the past 5 Chapter 1, the classical questions of several complex variables motivating the development of this field are reviewed after necessary preparations from the basic notions of those variables and of complex manifolds such as. Tasty Bits of Several Complex Variables A whirlwind tour of the subject JiříLebl October1, (version).

    $\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing analysis-only tells part. Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and.


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Holomorphic functions of several variables by Ludger Kaup Download PDF EPUB FB2

Holomorphic Functions of Several Variables Book Summary: 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. Holomorphic Functions of Several Variables: An Introduction to the Fundamental Theory (De Gruyter Studies in Mathematics Book 3) - Kindle edition by Kaup, Ludger, Kaup, Burchard, Bridgland, Michael, Barthel, Gottfried.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Holomorphic Functions of 4/5(1).

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. In this book, just after an introductory chapter on holomorphic functions (Chap.

1), we prove Oka's First Coherence Theorem for holomorphic functions in Chap. This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much by: 1. Introduction to Holomorphic Functions of Several Variables, Volume I: Function Theory | Robert C.

Gunning | download | B–OK. Download books for free. Find books. Introduction to Holomorphlc Functions of SeveralVariables, Volumes 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. Holomorphic Functions of Several Variables An Introduction to the Fundamental Theory.

In coop. with Barthel, Gottfried Book Book Series. Frontmatter Pages I-XVI. Get Access to Full Text. Part One: Function Theory on Domains in ℂn. Chapter 0. Elementary Properties of Holomorphic Functions. Pages Get Access to Full Text. Chapter 1. Additional Physical Format: Online version: Gunning, Robert C.

(Robert Clifford), Introduction to holomorphic functions of several variables. Boundary Behavior of Holomorphic Functions of Several Complex Variables by E.

Stein and a great selection of related books, art and collectibles available now at Robert C. Gunning and Hugo Rossi, Analytic Functions of Several Complex Variables, Now a bit dated, this is the book from which everybody learned the subject half a century ago.

Inthe first author published a three-volume update titled Introduction to Holomorphic Functions of Several Variables. As far as I know, these three volumes. 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.

Intended as a first study of higher-dimensional complex analysis, this book covers the theory of holomorphic functions of several complex variables, holomorphic.

Introduction to Holomorphlc Functions of SeveralVariables, Volumes provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties.

Each volume covers a different aspect andcan be read by: SUMMARY: 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.

Get this from a library. Holomorphic Function Theory in Several Variables: an Introduction. [Christine Laurent-Thiébaut; Christine Laurent-Thiâebaut] -- 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. [RAN1] R.

Range, Holomorphic functions and integral representations in several complex variables, Springer-Verlag, Berlin, Zentralblatt MATH:. From Holomorphic Functions to Complex Manifolds "A valuable addition to the literature."-MATHEMATICAL REVIEW "The book is a nice introduction to the theory of complex manifolds.

The authors' intention is to introduce the reader in a simple way to the most important branches and methods in the theory of several complex variables. 4/5(1). This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration.

All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. An Introduction to Functions of Several Variables. Author: Mariano Giaquinta,Giuseppe Modica; Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This superb and self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables.

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 : $.

Book Description. Introduction to Holomorphlc Functions of SeveralVariables, Volumes 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.Introduction to Holomorphic Functions of Several Variables, Volume II. DOI link for Introduction to Holomorphic Functions of Several Variables, Volume II.

Introduction to Holomorphic Functions of Several Variables, Volume II bookAuthor: Robert C. Gunning.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.