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" Algebra, complex analysis, and pluripotential theory : "
Zair Ibragimov, Norman Levenberg, Utkir Rozikov, Azimbay Sadullaev, editors.
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BL
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859388
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USA-Uzbekistan Conference on Analysis and Mathematical Physics(2nd :2017 :, Urgench, Uzbekistan)
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Algebra, complex analysis, and pluripotential theory : : 2 USUZCAMP, Urgench, Uzbekistan, August 8-12, 2017 /\ Zair Ibragimov, Norman Levenberg, Utkir Rozikov, Azimbay Sadullaev, editors.
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| Publication Statement
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Cham, Switzerland :: Springer,, 2018.
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| Series Statement
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Springer proceedings in mathematics & statistics ;; volume 264
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1 online resource
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| ISBN
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3030011445
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: 3030011453
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: 9783030011444
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: 9783030011451
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3030011437
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9783030011437
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| Contents
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Intro; Preface; Acknowledgements; Contents; Removable Singular Sets of m-Subharmonic Functions; 1 Introduction; 2 Preliminary Results on Removable Singularities; 3 (n-s, q)-Capacity; 4 Main Results; 5 Appendix; References; Extensions of Bernstein's Lethargy Theorem; 1 Introduction; 2 Extensions of BLT to Banach Spaces; 3 Extension of BLT to Fréchet Spaces; 4 Bernstein Pairs; References; Local Automorphisms on Finite-Dimensional Lie and Leibniz Algebras; 1 Introduction; 2 Local Automorphisms on mathfraksln; 3 Local Automorphisms of Algebras mathfraksln mathcalI
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3 Cocycles4 Dialgebras; 5 Extensions and Cocycles; 5.1 Extensions of Dialgebras; 5.2 Cocycles on Dialgebras; 5.3 Annihilator Extensions and Cocycles; 6 Action of Automorphisms; 7 Application; References; Holliday Junctions for the Potts Model of DNA; 1 Introduction and Definitions; 2 System of Functional Equations of Finite Dimensional Distributions; 3 Translation Invariant Gibbs Measures of the Set of DNAs; 4 Markov Chains of TIGMs and Holliday Junction of DNA; References; Further Developments of the Pluripotential Theory (Survey); 1 Introduction; 2 (B)m-Subharmonic Functions
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4 Local Automorphisms of Filiform Lie AlgebrasReferences; Integration of the Toda-Type Chain with a Special Self-consistent Source; 1 Introduction; 2 The Formulation of Problem; 3 Basic Facts About the Scattering Problem; 4 Evolution of the Scattering Data; References; Ground States for Potts Model with a Countable Set of Spin Values on a Cayley Tree; 1 Introduction; 2 Main Definitions and Known Facts; 3 Configuration Space and the Model; 4 Ground States; References; Isomorphic Classification of ast-Algebras of Log-Integrable Measurable Functions; 1 Introduction; 2 Preliminaries
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Carleman Formula for Matrix Ball of the Third Type1 Introduction and Preliminaries; 2 Main Results; References; A Multidimensional Boundary Analogue of Hartogs's Theorem on n-Circular Domains for Integrable Functions; 1 Introduction; 2 The Szego Kernel on n-Circular Domains; 3 The Poisson Kernel on n-Circular Domains; 4 The Modified Poisson Kernel; 5 Main Results; References; On the Number of Real Zeros of Entire Functions of Finite Order of Grows; References; On Extensions of Some Classes of Algebras; 1 Extensions of Lie Algebras; 2 Extensions of Some Classes of Algebras with One Operation
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| Abstract
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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.--
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Banach algebras, Congresses.
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C*-algebras, Congresses.
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Functional analysis, Congresses.
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Topological algebras, Congresses.
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Banach algebras.
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C*-algebras.
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Functional analysis.
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MATHEMATICS-- Algebra-- Intermediate.
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Stochastics.
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Topological algebras.
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Potential Theory.
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| Dewey Classification
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512/.55
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| LC Classification
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QA326.T648 2017eb
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| Added Entry
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Ibragimov, Zair
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Levenberg, Norman
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Rozikov, Utkir A.,1970-
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Sadullaev, A.
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| Parallel Title
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USUZCAMP
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