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Pluripotential Theory And Capacity Inequalities

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Pluripotential Theory And Capacity Inequalities

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Author : Mika Koskenoja
language : en
Publisher:
Release Date : 2002

Pluripotential Theory And Capacity Inequalities written by Mika Koskenoja and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Capacity theory (Mathematics). categories.

The Complex Monge Ampere Equation And Pluripotential Theory

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Author : Sławomir Kołodziej
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

The Complex Monge Ampere Equation And Pluripotential Theory written by Sławomir Kołodziej 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 2005 with Mathematics categories.

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.

Algebra Complex Analysis And Pluripotential Theory

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Author : Zair Ibragimov
language : en
Publisher: Springer
Release Date : 2018-10-11

Algebra Complex Analysis And Pluripotential Theory written by Zair Ibragimov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-11 with Mathematics categories.

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.

Asymptotical Behaviour Of A Semilinear Diffusion Equation

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Author : Ville Ramula
language : en
Publisher:
Release Date : 2006

Asymptotical Behaviour Of A Semilinear Diffusion Equation written by Ville Ramula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations, Nonlinear categories.

Combinatorics Of Curves On Hurwitz Surfaces

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Author : Roger Vogeler
language : en
Publisher:
Release Date : 2004

Combinatorics Of Curves On Hurwitz Surfaces written by Roger Vogeler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Automorphisms categories.

Meromorphic Solutions Of Differential And Difference Equations With Deficiencies

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Author : Risto Korhonen
language : en
Publisher:
Release Date : 2002

Meromorphic Solutions Of Differential And Difference Equations With Deficiencies written by Risto Korhonen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Difference equations categories.

Complex Non K Hler Geometry

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Author : Sławomir Dinew
language : en
Publisher: Springer Nature
Release Date : 2019-11-05

Complex Non K Hler Geometry written by Sławomir Dinew and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.

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.