Entire Holomorphic Mappings In One And Several Complex Variables Am 85 Volume 85
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Entire Holomorphic Mappings In One And Several Complex Variables Am 85 Volume 85
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Author : Phillip A. Griffiths
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Entire Holomorphic Mappings In One And Several Complex Variables Am 85 Volume 85 written by Phillip A. Griffiths and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
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.
Entire Holomorphic Mappings In One And Several Complex Variables
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Author : Phillip Griffiths
language : en
Publisher: Princeton University Press
Release Date : 1976-02-21
Entire Holomorphic Mappings In One And Several Complex Variables written by Phillip Griffiths and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-02-21 with Mathematics categories.
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.
Infinite Loop Spaces Am 90 Volume 90
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Author : John Frank Adams
language : en
Publisher: Princeton University Press
Release Date : 1978-09-01
Infinite Loop Spaces Am 90 Volume 90 written by John Frank Adams and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-01 with Mathematics categories.
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
Foundational Essays On Topological Manifolds Smoothings And Triangulations Am 88 Volume 88
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Author : Robion C. Kirby
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Foundational Essays On Topological Manifolds Smoothings And Triangulations Am 88 Volume 88 written by Robion C. Kirby and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
Several Complex Variables Iii
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Author : G.M. Khenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Several Complex Variables Iii written by G.M. Khenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
Complex Analysis Of Several Variables
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Author : Yum-Tong Siu
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Complex Analysis Of Several Variables written by Yum-Tong Siu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
These proceedings are a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. At the symposium, H. Grauert, J. J. Kohn, M. Schneider, H. Skoda and S. T. Yau delivered one-hour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized half-hour talks. The book contains a selection of the presented papers as well as some contributed papers.
Partial Differential Relations
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Author : Misha Gromov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Partial Differential Relations written by Misha Gromov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.
Equivalences Of Holomorphic Mappings In One And Several Complex Variables
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Author : Adrian Jenkins
language : en
Publisher:
Release Date : 2005
Equivalences Of Holomorphic Mappings In One And Several Complex Variables written by Adrian Jenkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Introduction To Holomorphic Functions Of Several Variables Volume I
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Author : R.C. Gunning
language : en
Publisher: Routledge
Release Date : 2018-05-02
Introduction To Holomorphic Functions Of Several Variables Volume I written by R.C. Gunning and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 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.
Pluripotential Theory
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Author : Giorgio Patrizio
language : en
Publisher: Springer
Release Date : 2013-05-16
Pluripotential Theory written by Giorgio Patrizio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-16 with Mathematics categories.
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.