Numerical Range Of Holomorphic Mappings And Applications

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Numerical Range of Holomorphic Mappings and Applications

Author : Mark Elin
Publisher : Springer
ISBN 13 : 3030050203
Total Pages : 229 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Numerical Range of Holomorphic Mappings and Applications by : Mark Elin

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.

Topics in Mathematical Analysis and Applications

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319065548
Total Pages : 811 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Topics in Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Topics in Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2014-10-13 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Stein Manifolds and Holomorphic Mappings

Author : Franc Forstnerič
Publisher : Springer Science & Business Media
ISBN 13 : 3642222501
Total Pages : 501 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Stein Manifolds and Holomorphic Mappings by : Franc Forstnerič

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.

Handbook of Metric Fixed Point Theory

Author : W.A. Kirk
Publisher : Springer Science & Business Media
ISBN 13 : 9401717486
Total Pages : 702 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Metric Fixed Point Theory by : W.A. Kirk

Download or read book Handbook of Metric Fixed Point Theory written by W.A. Kirk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.

Entire Holomorphic Mappings in One and Several Complex Variables

Author : Phillip Griffiths
Publisher : Princeton University Press
ISBN 13 : 9780691081724
Total Pages : 116 pages
Book Rating : 4.0/5 (817 download)

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Book Synopsis Entire Holomorphic Mappings in One and Several Complex Variables by : Phillip Griffiths

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 116 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.

Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85

Author : Phillip A. Griffiths
Publisher : Princeton University Press
ISBN 13 : 140088148X
Total Pages : 110 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 by : Phillip A. Griffiths

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.

Mathematica Scandinavica

Author :
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Mathematica Scandinavica by :

Download or read book Mathematica Scandinavica written by and published by . This book was released on 2008 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Function Theory in One and Higher Dimensions

Author : Ian Graham
Publisher : CRC Press
ISBN 13 : 9780203911624
Total Pages : 572 pages
Book Rating : 4.9/5 (116 download)

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Book Synopsis Geometric Function Theory in One and Higher Dimensions by : Ian Graham

Download or read book Geometric Function Theory in One and Higher Dimensions written by Ian Graham and published by CRC Press. This book was released on 2003-03-18 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in

Noncommutative Analysis, Operator Theory and Applications

Author : Daniel Alpay
Publisher : Birkhäuser
ISBN 13 : 3319291165
Total Pages : 285 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Noncommutative Analysis, Operator Theory and Applications by : Daniel Alpay

Download or read book Noncommutative Analysis, Operator Theory and Applications written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-06-30 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Distribution of Values of Holomorphic Mappings

Author : Boris Vladimirovich Shabat
Publisher : American Mathematical Soc.
ISBN 13 : 9780821845141
Total Pages : 225 pages
Book Rating : 4.8/5 (451 download)

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Book Synopsis Distribution of Values of Holomorphic Mappings by : Boris Vladimirovich Shabat

Download or read book Distribution of Values of Holomorphic Mappings written by Boris Vladimirovich Shabat and published by American Mathematical Soc.. This book was released on 1985 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: A vast literature has grown up around the value distribution theory of meromorphic functions, synthesized by Rolf Nevanlinna in the 1920s and singled out by Hermann Weyl as one of the greatest mathematical achievements of this century. The multidimensional aspect, involving the distribution of inverse images of analytic sets under holomorphic mappings of complex manifolds, has not been fully treated in the literature. This volume thus provides a valuable introduction to multivariate value distribution theory and a survey of some of its results, rich in relations to both algebraic and differential geometry and surely one of the most important branches of the modern geometric theory of functions of a complex variable.Since the book begins with preparatory material from the contemporary geometric theory of functions, only a familiarity with the elements of multidimensional complex analysis is necessary background to understand the topic. After proving the two main theorems of value distribution theory, the author goes on to investigate further the theory of holomorphic curves and to provide generalizations and applications of the main theorems, focusing chiefly on the work of Soviet mathematicians.

Geometry of Holomorphic Mappings

Author : Sergey Pinchuk
Publisher : Springer Nature
ISBN 13 : 3031371496
Total Pages : 217 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Geometry of Holomorphic Mappings by : Sergey Pinchuk

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.

Complex Analysis in Locally Convex Spaces

Author : S. Dineen
Publisher : Elsevier
ISBN 13 : 0080871682
Total Pages : 507 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Complex Analysis in Locally Convex Spaces by : S. Dineen

Download or read book Complex Analysis in Locally Convex Spaces written by S. Dineen and published by Elsevier. This book was released on 2011-08-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis in Locally Convex Spaces

Introduction to Holomorphic Functions of Several Variables

Author : R.C. Gunning
Publisher : CRC Press
ISBN 13 : 9780534133092
Total Pages : 250 pages
Book Rating : 4.1/5 (33 download)

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Book Synopsis Introduction to Holomorphic Functions of Several Variables by : R.C. Gunning

Download or read book Introduction to Holomorphic Functions of Several Variables written by R.C. Gunning and published by CRC Press. This book was released on 1990-08-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

Introduction to Holomorphic Functions of Several Variables, Volume II

Author : R.C. Gunning
Publisher : Routledge
ISBN 13 : 1351436902
Total Pages : 250 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Introduction to Holomorphic Functions of Several Variables, Volume II by : R.C. Gunning

Download or read book Introduction to Holomorphic Functions of Several Variables, Volume II written by R.C. Gunning and published by Routledge. This book was released on 2018-05-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Holomorphic Functions of Several Variables, Volume I

Author : R.C. Gunning
Publisher : Routledge
ISBN 13 : 1351436937
Total Pages : 228 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Introduction to Holomorphic Functions of Several Variables, Volume I by : R.C. Gunning

Download or read book Introduction to Holomorphic Functions of Several Variables, Volume I written by R.C. Gunning and published by Routledge. This book was released on 2018-05-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan

Author : J Noguchi
Publisher : World Scientific
ISBN 13 : 9814548596
Total Pages : 738 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan by : J Noguchi

Download or read book Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan written by J Noguchi and published by World Scientific. This book was released on 1996-05-09 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades. Through this volume one can see an active field providing insight into other fields like algebraic geometry, dynamical systems and partial differential equations.

Geometry of Banach Spaces and Related Fields

Author : Gilles Godefroy
Publisher : American Mathematical Society
ISBN 13 : 1470475707
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry of Banach Spaces and Related Fields by : Gilles Godefroy

Download or read book Geometry of Banach Spaces and Related Fields written by Gilles Godefroy and published by American Mathematical Society. This book was released on 2024-03-27 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.