Algebra, Complex Analysis, and Pluripotential Theory: 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

Description

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. Front Matter ....Pages i-x Removable Singular Sets of m-Subharmonic Functions (B. I. Abdullaev, S. A. Imomkulov, R. A. Sharipov)....Pages 1-11 Extensions of Bernstein’s Lethargy Theorem (Asuman Güven Aksoy)....Pages 13-29 Local Automorphisms on Finite-Dimensional Lie and Leibniz Algebras (Shavkat Ayupov, Karimbergen Kudaybergenov)....Pages 31-44 Integration of the Toda-Type Chain with a Special Self-consistent Source (B. A. Babajanov)....Pages 45-57 Ground States for Potts Model with a Countable Set of Spin Values on a Cayley Tree (G. I. Botirov, M. M. Rahmatullaev)....Pages 59-71 Isomorphic Classification of \(*\)-Algebras of Log-Integrable Measurable Functions (R. Z. Abdullaev, V. I. Chilin)....Pages 73-83 Matrix Differential Equations for Pseudo-orthogonal Groups (V. I. Chilin, K. K. Muminov)....Pages 85-92 Polynomial Estimates over Exponential Curves in \(\mathbb C^2\) (Shirali Kadyrov, Yershat Sapazhanov)....Pages 93-99 Carleman Formula for Matrix Ball of the Third Type (G. Khudayberganov, U. S. Rakhmonov)....Pages 101-108 A Multidimensional Boundary Analogue of Hartogs’s Theorem on \(\mathbf n\)-Circular Domains for Integrable Functions (Bairambay Otemuratov)....Pages 109-123 On the Number of Real Zeros of Entire Functions of Finite Order of Grows (B. B. Prenov)....Pages 125-129 On Extensions of Some Classes of Algebras (Isamiddin Rakhimov)....Pages 131-149 Holliday Junctions for the Potts Model of DNA (Utkir Rozikov)....Pages 151-165 Further Developments of the Pluripotential Theory (Survey) (Azimbay Sadullaev)....Pages 167-182 Properties of Solutions of the Cauchy Problem for Degenerate Nonlinear Cross Systems with Convective Transfer and Absorption (Sh. A. Sadullaeva, M. B. Khojimurodova)....Pages 183-190 Class R of Gonchar in \(\mathbf C^n\) (Azimbay Sadullaev, Zafar Ibragimov)....Pages 191-205 On a Generalised Samarskii-Ionkin Type Problem for the Poisson Equation (Aishabibi A. Dukenbayeva, Makhmud A. Sadybekov, Nurgissa A. Yessirkegenov)....Pages 207-216 Ergodicity Properties of p-Adic (2, 1)-Rational Dynamical Systems with Unique Fixed Point (Iskandar A. Sattarov)....Pages 217-226