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Algebra, Complex Analysis, and Pluripotential Theory

2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Zair Ibragimov

    1. Department of Mathematics, California State University, Fullerton, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Norman Levenberg

    1. Department of Mathematics, Indiana University, Bloomington, USA

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  3. Utkir Rozikov

    1. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

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  4. Azimbay Sadullaev

    1. Department of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

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  • Features surveys related to the topics covered
  • Includes open problems for future investigation
  • Presents recent results on algebra, functional analysis, complex analysis, and pluripotential theory

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 264)

Included in the following conference series:

Conference proceedings info: USUZCAMP 2017.

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Table of contents (18 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Removable Singular Sets of m-Subharmonic Functions

    • B. I. Abdullaev, S. A. Imomkulov, R. A. Sharipov
    Pages 1-11

  3. Extensions of Bernstein’s Lethargy Theorem

    • Asuman Güven Aksoy
    Pages 13-29

  4. Local Automorphisms on Finite-Dimensional Lie and Leibniz Algebras

    • Shavkat Ayupov, Karimbergen Kudaybergenov
    Pages 31-44

  5. Integration of the Toda-Type Chain with a Special Self-consistent Source

    • B. A. Babajanov
    Pages 45-57

  6. 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

  7. Isomorphic Classification of \(*\)-Algebras of Log-Integrable Measurable Functions

    • R. Z. Abdullaev, V. I. Chilin
    Pages 73-83

  8. Matrix Differential Equations for Pseudo-orthogonal Groups

    • V. I. Chilin, K. K. Muminov
    Pages 85-92

  9. Polynomial Estimates over Exponential Curves in \(\mathbb C^2\)

    • Shirali Kadyrov, Yershat Sapazhanov
    Pages 93-99

  10. Carleman Formula for Matrix Ball of the Third Type

    • G. Khudayberganov, U. S. Rakhmonov
    Pages 101-108

  11. A Multidimensional Boundary Analogue of Hartogs’s Theorem on \(\mathbf n\)-Circular Domains for Integrable Functions

    • Bairambay Otemuratov
    Pages 109-123

  12. On the Number of Real Zeros of Entire Functions of Finite Order of Grows

    • B. B. Prenov
    Pages 125-129

  13. On Extensions of Some Classes of Algebras

    • Isamiddin Rakhimov
    Pages 131-149

  14. Holliday Junctions for the Potts Model of DNA

    • Utkir Rozikov
    Pages 151-165

  15. Further Developments of the Pluripotential Theory (Survey)

    • Azimbay Sadullaev
    Pages 167-182

  16. 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

  17. Class R of Gonchar in \(\mathbf C^n\)

    • Azimbay Sadullaev, Zafar Ibragimov
    Pages 191-205

  18. On a Generalised Samarskii-Ionkin Type Problem for the Poisson Equation

    • Aishabibi A. Dukenbayeva, Makhmud A. Sadybekov, Nurgissa A. Yessirkegenov
    Pages 207-216

  19. Ergodicity Properties of p-Adic (2, 1)-Rational Dynamical Systems with Unique Fixed Point

    • Iskandar A. Sattarov
    Pages 217-226
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Other volumes

  1. Algebra, Complex Analysis, and Pluripotential Theory

  2. Differential Equations and Dynamical Systems

Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, California State University, Fullerton, USA

    Zair Ibragimov

  • Department of Mathematics, Indiana University, Bloomington, USA

    Norman Levenberg

  • Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    Utkir Rozikov

  • Department of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

    Azimbay Sadullaev

Bibliographic Information

  • Book Title: Algebra, Complex Analysis, and Pluripotential Theory

  • Book Subtitle: 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

  • Editors: Zair Ibragimov, Norman Levenberg, Utkir Rozikov, Azimbay Sadullaev

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-01144-4

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-030-01143-7Published: 12 October 2018

  • Softcover ISBN: 978-3-030-13163-0Published: 10 December 2019

  • eBook ISBN: 978-3-030-01144-4Published: 11 October 2018

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 226

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Potential Theory

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