Numerical Range Of Holomorphic Mappings And Applications

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Numerical Range of Holomorphic Mappings and Applications

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Author : Mark Elin
Publisher : Springer
ISBN 13 : 3030050203
Total Pages : 238 pages
Book Rating : 4.0/5 (3 download)

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 238 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

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

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.

Handbook of Metric Fixed Point Theory

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

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.

Mathematica Scandinavica

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

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

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

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

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

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.

Complex Analysis in Locally Convex Spaces

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

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

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

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

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

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

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

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

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

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

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

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.

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 1608 pages
Book Rating : 4.X/5 (6 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holomorphic Functions and Integral Representations in Several Complex Variables

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Author : R. Michael Range
Publisher : Springer Science & Business Media
ISBN 13 : 1475719183
Total Pages : 405 pages
Book Rating : 4.4/5 (757 download)

Book Synopsis Holomorphic Functions and Integral Representations in Several Complex Variables by : R. Michael Range

Download or read book Holomorphic Functions and Integral Representations in Several Complex Variables written by R. Michael Range and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Complex Analytic Geometry

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Author : Stanislaw Lojasiewicz
Publisher : Birkhäuser
ISBN 13 : 3034876173
Total Pages : 535 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Introduction to Complex Analytic Geometry by : Stanislaw Lojasiewicz

Download or read book Introduction to Complex Analytic Geometry written by Stanislaw Lojasiewicz and published by Birkhäuser. This book was released on 2013-03-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).

American Journal of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 1142 pages
Book Rating : 4.:/5 (36 download)

Book Synopsis American Journal of Mathematics by :

Download or read book American Journal of Mathematics written by and published by . This book was released on 1970 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt: