Algebra Complex Analysis And Pluripotential Theory

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Algebra, Complex Analysis, and Pluripotential Theory

Author : Zair Ibragimov
Publisher : Springer
ISBN 13 : 3030011445
Total Pages : 224 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Algebra, Complex Analysis, and Pluripotential Theory by : Zair Ibragimov

Download or read book Algebra, Complex Analysis, and Pluripotential Theory written by Zair Ibragimov and published by Springer. This book was released on 2018-10-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions, local automorphisms, Lie algebras, and Leibniz algebras. Many of the papers address the theory of harmonic functions, and the book includes a number of extensive survey papers. Graduate and researchers interested in functional analysis, complex analysis, operator algebras and non-associative algebras will find this book relevant to their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Differential Equations and Dynamical Systems is also published in the Springer Proceedings in Mathematics & Statistics Series.

Algebra, Complex Analysis, and Pluripotential Theory

Author : Zair Ibragimov
Publisher :
ISBN 13 : 9783030011451
Total Pages : pages
Book Rating : 4.0/5 (114 download)

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Book Synopsis Algebra, Complex Analysis, and Pluripotential Theory by : Zair Ibragimov

Download or read book Algebra, Complex Analysis, and Pluripotential Theory written by Zair Ibragimov and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions, local automorphisms, Lie algebras, and Leibniz algebras. Many of the papers address the theory of harmonic functions, and the book includes a number of extensive survey papers. Graduate and researchers interested in functional analysis, complex analysis, operator algebras and non-associative algebras will find this book relevant to their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Differential Equations and Dynamical Systems is also published in the Springer Proceedings in Mathematics & Statistics Series.--

Pluripotential Theory

Author : Giorgio Patrizio
Publisher : Springer
ISBN 13 : 3642364217
Total Pages : 328 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Pluripotential Theory by : Giorgio Patrizio

Download or read book Pluripotential Theory written by Giorgio Patrizio and published by Springer. This book was released on 2013-05-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pluripotential Theory

Author : Maciej Klimek
Publisher :
ISBN 13 : 9781383025705
Total Pages : 0 pages
Book Rating : 4.0/5 (257 download)

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Book Synopsis Pluripotential Theory by : Maciej Klimek

Download or read book Pluripotential Theory written by Maciej Klimek and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a recently developed branch of analysis in several complex variables. It focuses on the interplay between maximal plurisubharmonic functions and the generalized complex Monge-Ampere operator.

Integral Representations and Residues in Multidimensional Complex Analysis

Author : Lev Abramovich Aĭzenberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821815504
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integral Representations and Residues in Multidimensional Complex Analysis by : Lev Abramovich Aĭzenberg

Download or read book Integral Representations and Residues in Multidimensional Complex Analysis written by Lev Abramovich Aĭzenberg and published by American Mathematical Soc.. This book was released on 1983 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with integral representations of holomorphic functions of several complex variables, the multidimensional logarithmic residue, and the theory of multidimensional residues. Applications are given to implicit function theory, systems of nonlinear equations, computation of the multiplicity of a zero of a mapping, and computation of combinatorial sums in closed form. Certain applications in multidimensional complex analysis are considered. The monograph is intended for specialists in theoretical and applied mathematics and theoretical physics, and for postgraduate and graduate students interested in multidimensional complex analysis or its applications.

Complex Non-Kähler Geometry

Author : Sławomir Dinew
Publisher : Springer Nature
ISBN 13 : 3030258831
Total Pages : 242 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Complex Non-Kähler Geometry by : Sławomir Dinew

Download or read book Complex Non-Kähler Geometry written by Sławomir Dinew and published by Springer Nature. This book was released on 2019-11-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. The school consisted of four courses, focusing on both the construction of non-Kähler manifolds and the understanding of a possible classification of complex non-Kähler manifolds. In particular, the courses by Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact complex surfaces and compact Kähler manifolds, respectively. The courses by Sebastien Picard and Sławomir Dinew focused on analytic techniques in Hermitian geometry, more precisely, on special Hermitian metrics and geometric flows, and on pluripotential theory in complex non-Kähler geometry.

Functional Analysis and Complex Analysis

Author : Aydin Aytuna
Publisher : American Mathematical Soc.
ISBN 13 : 0821844601
Total Pages : 211 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Functional Analysis and Complex Analysis by : Aydin Aytuna

Download or read book Functional Analysis and Complex Analysis written by Aydin Aytuna and published by American Mathematical Soc.. This book was released on 2009-03-20 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the interplay between the methods of functional analysis and complex analysis has led to some remarkable results in a wide variety of topics. It turned out that the structure of spaces of holomorphic functions is fundamentally linked to certain invariants initially defined on abstract Frechet spaces as well as to the developments in pluripotential theory. The aim of this volume is to document some of the original contributions to this topic presented at a conference held at Sabanci University in Istanbul, in September 2007. This volume also contains some surveys that give an overview of the state of the art and initiate further research in the interplay between functional and complex analysis.

Topics in Several Complex Variables

Author : Zair Ibragimov
Publisher : American Mathematical Soc.
ISBN 13 : 1470419270
Total Pages : 168 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Several Complex Variables by : Zair Ibragimov

Download or read book Topics in Several Complex Variables written by Zair Ibragimov and published by American Mathematical Soc.. This book was released on 2016-04-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USA-Uzbekistan Conference on Analysis and Mathematical Physics from May 20–23, 2014, at California State University, Fullerton. This volume covers a wide variety of topics in pluripotential theory, symplectic geometry and almost complex structures, integral formulas, holomorphic extension, and complex dynamics. In particular, the reader will find articles on Lagrangian submanifolds and rational convexity, multidimensional residues, S-parabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.

Differential Equations and Dynamical Systems

Author : Abdulla Azamov
Publisher : Springer
ISBN 13 : 3030014762
Total Pages : 197 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Differential Equations and Dynamical Systems by : Abdulla Azamov

Download or read book Differential Equations and Dynamical Systems written by Abdulla Azamov and published by Springer. This book was released on 2018-10-20 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical systems, theory of games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems, quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics from dynamical properties to stochastic properties of dynamical systems, this volume includes discussion on discrete-numerical tracking, conjugation between two critical circle maps, invariance principles, and the central limit theorem. Applications to game theory and networks are also included. Graduate students and researchers interested in complex systems, differential equations, dynamical systems, functional analysis, and mathematical physics will find this book useful for their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Algebra, Complex Analysis, and Pluripotential Theory is also published in the Springer Proceedings in Mathematics & Statistics Series.

Advances in Complex Geometry

Author : Yanir A. Rubinstein
Publisher : American Mathematical Soc.
ISBN 13 : 1470443333
Total Pages : 259 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in Complex Geometry by : Yanir A. Rubinstein

Download or read book Advances in Complex Geometry written by Yanir A. Rubinstein and published by American Mathematical Soc.. This book was released on 2019-08-26 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from speakers at the 2015–2018 joint Johns Hopkins University and University of Maryland Complex Geometry Seminar. It begins with a survey article on recent developments in pluripotential theory and its applications to Kähler–Einstein metrics and continues with articles devoted to various aspects of the theory of complex manifolds and functions on such manifolds.

Pluripotential Theory

Author : Maciej Klimek
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Pluripotential Theory by : Maciej Klimek

Download or read book Pluripotential Theory written by Maciej Klimek and published by . This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pluripotential theory is a recently developed non-linear complex counterpart of classical potential theory. Its main area of application is multidimensional complex analysis. The central part of the pluripotential theory is occupied by maximal plurisubharmonic functions and the generalized complex Monge-Ampere operator. The interplay between these two concepts provides the focal point of this monograph, which contains an up-to-date account of the developments from the large volume of recent work in this area. A substantial proportion of the work is devoted to classical properties of subharmonic and plurisubharmonic functions, which makes the pluripotential theory available for the first time to a wide audience of analysts.

Recent Developments in Complex Analysis and Computer Algebra

Author : R.P. Gilbert
Publisher : Springer Science & Business Media
ISBN 13 : 9780792359999
Total Pages : 400 pages
Book Rating : 4.3/5 (599 download)

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Book Synopsis Recent Developments in Complex Analysis and Computer Algebra by : R.P. Gilbert

Download or read book Recent Developments in Complex Analysis and Computer Algebra written by R.P. Gilbert and published by Springer Science & Business Media. This book was released on 1999 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of state-of-the-art chapters on Nevanlinna theory, Fatou-Julia theory, entire and meromorphic functions, several complex variables, computer applications to complex analysis, line bundles, and collocation methods. Audience: Researchers working in the field as well as scientists interested in the applications.

Several Complex Variables II

Author : G.M. Khenkin
Publisher : Springer Science & Business Media
ISBN 13 : 3642578829
Total Pages : 267 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Several Complex Variables II by : G.M. Khenkin

Download or read book Several Complex Variables II written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.

The Complex Monge-Ampere Equation and Pluripotential Theory

Author : Sławomir Kołodziej
Publisher : American Mathematical Soc.
ISBN 13 : 082183763X
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Complex Monge-Ampere Equation and Pluripotential Theory by : Sławomir Kołodziej

Download or read book The Complex Monge-Ampere Equation and Pluripotential Theory written by Sławomir Kołodziej and published by American Mathematical Soc.. This book was released on 2005 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part, the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.

Holomorphic Dynamical Systems

Author : Nessim Sibony
Publisher : Springer Science & Business Media
ISBN 13 : 3642131700
Total Pages : 357 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Holomorphic Dynamical Systems by : Nessim Sibony

Download or read book Holomorphic Dynamical Systems written by Nessim Sibony and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Dynamics in Several Complex Variables

Author : John Erik Fornæss
Publisher : American Mathematical Soc.
ISBN 13 : 0821803174
Total Pages : 71 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dynamics in Several Complex Variables by : John Erik Fornæss

Download or read book Dynamics in Several Complex Variables written by John Erik Fornæss and published by American Mathematical Soc.. This book was released on 1996 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. the authro's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

Approximation, Complex Analysis, and Potential Theory

Author : Norair Arakelian
Publisher : Springer Science & Business Media
ISBN 13 : 9401009791
Total Pages : 275 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Approximation, Complex Analysis, and Potential Theory by : Norair Arakelian

Download or read book Approximation, Complex Analysis, and Potential Theory written by Norair Arakelian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.