Download or read book PROPER HOLOMORPHIC MAPPINGS IN DOUBLE BAR C N HOLOMORPHIC MAPPINGS written by YIFEI PAN and published by . This book was released on 1990 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the second part, we prove the following rigidity result for holomorphic mappings: Any holomorphic mapping that sends a non-Levi flat real hypersurface into a totally real submanifold is constant.
Download or read book Geometry of Holomorphic Mappings written by Sergey Pinchuk and published by Springer Nature. This book was released on 2023-10-16 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this book is to introduce the reader to some of these approaches and to demonstrate how they can be used in the context of boundary properties of holomorphic maps. The authors present substantial results concerning holomorphic mappings in several complex variables with improved and often simplified proofs. Emphasis is placed on geometric methods, including the Kobayashi metric, the Scaling method, Segre varieties, and the Reflection principle. Geometry of Holomorphic Mappings will provide a valuable resource for PhD students in complex analysis and complex geometry; it will also be of interest to researchers in these areas as a reference.
Download or read book Stein Manifolds and Holomorphic Mappings written by Franc Forstnerič and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
Download or read book Entire Holomorphic Mappings in One and Several Complex Variables AM 85 Volume 85 written by Phillip A. Griffiths and published by Princeton University Press. This book was released on 2016-03-02 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974. In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order. Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
Download or read book Entire Holomorphic Mappings in One and Several Complex Variables written by Phillip Griffiths and published by Princeton University Press. This book was released on 1976-02-21 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974. In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order. Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
Download or read book Proper Holomorphic Mappings in Several Complex Variables written by Marcus Wono Setya-Budhi and published by . This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A holomorphic mapping f from a bounded domain D in $doubcsp{n}$ to a bounded domain $Omega$ in $doubcsp{N}$ is proper if the sequence ${f(zj)}$ tends to the boundary of $Omega$ for every sequence ${zj}$ which tends to the boundary of D. Let f be a proper holomorphic mapping from the unit ball in $doubcsp{n}$ to the unit ball in $doubcsp{N}$ for $N ge n ge 2.$ If f is a function of class $Csp{N-n+1}$ on the closed unit ball and also satisfies a certain non-degeneracy condition, then Cima and Suffridge proved that f must be rational. In this thesis we prove a similar result for mappings from complex eggs to the unit ball in $doubcsp{N}.$ We also prove that a rational proper holomorphic mapping f from the complex egg ${z in doubcsp{n} vertSigmavert zsb{i}
Download or read book Proper holomorphic mappings A survey written by Franc Forstnerič and published by . This book was released on 1991 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Range of Holomorphic Mappings and Applications written by Mark Elin and published by Springer. This book was released on 2019-03-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
Download or read book Proper Holomorphic Mappings written by Victoria Pambuccian and published by . This book was released on 1994 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rigidity of Proper Holomorphic Mappings Between Bounded Symmetric Domains written by Zhenhan Tu and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Rigidity of Proper Holomorphic Mappings Between Bounded Symmetric Domains" by 涂振漢, Zhenhan, Tu, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b4257564 Subjects: Symmetric spaces, Hermitian Holomorphic mappings Lie groups
Download or read book Proper Holomorphic Maps from Domains in CN to the N 1 ball and Boundary Interpolation written by Avner Dor and published by . This book was released on 1988 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Holomorphic Mappings and Algebras of Holomorphic Functions of Several Complex Variables written by Alan Trinler Huckleberry and published by . This book was released on 1970 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Equivalences of Holomorphic Mappings in One and Several Complex Variables written by Adrian Jenkins and published by . This book was released on 2005 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proper Holomorphic Mappings of Positive Codimension in Several Complex Variables written by Stephen Anthony Chiappari and published by . This book was released on 1990 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: A holomorphic mapping f from a bounded domain $Omega$ in C$sp{rm n}$ to a bounded domain $Omegaspprime$ in C$sp{rm N}$ is proper if and only if (f(z$sbnu$)) tends to the boundary b$Omegaspprime$ for each sequence (z$sbnu$) that tends to b$Omega$. If the domains are balls B$sb{rm n}$ and B$sb{rm N}$, Forstneric has proved that if f is sufficiently smooth up to the sphere bB$sb{rm n}$, then it must be rational, and Cima and Suffridge have shown that it then extends to be holomorphic past bB$sb{rm n}$. We prove the more general result that if (i) $Omega$ lies on one side of a real analytic real hypersurface M in C$sp{rm n}$, (ii) F maps $Omega$ holomorphically into the ball B$sb{rm N}$, (iii) in some neighborhood of a point p of M, F is the quotient of a holomorphic mapping by a holomorphic function, and (iv) if for each point q of M sufficiently near p, (F(z$sbnu$)) tends to bB$sb{rm N}$ as (z$sbnu$) tends to q within $Omega$, then F extends to be holomorphic past M at p. We prove this extension result also for certain other target domains, e.g., generalized ellipsoids $rm{sumsb{j} vert wsb{j}vertsp{2msb j}
Download or read book On proper holomorphic mappings written by Zhiqiang Wu and published by . This book was released on 1991 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Results on Holomorphic Mappings on Cn written by 陳耿彥 and published by . This book was released on 2003 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Extension of Holomorphic Functions written by Marek Jarnicki and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
