Algebra, Complex Analysis, and Pluripotential Theory, 1st ed. 2018
2 USUZCAMP, Urgench, Uzbekistan, August 8-12, 2017
Springer Proceedings in Mathematics & Statistics Series, Vol. 264

Language: English

105.49 €

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Algebra, Complex Analysis, and Pluripotential Theory
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Support: Print on demand

105.49 €

In Print (Delivery period: 15 days).

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Algebra, Complex Analysis, and Pluripotential Theory
Publication date:
226 p. · 15.5x23.5 cm · Paperback

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.
1) Asuman G. Aksoy (Claremont McKenna College, USA)
            Qidi Peng (Claremont Graduate University, USA)
Title:  Arbitrarily slow convergence: A sufficient subspace condition 
Number of pages: 17

2) Mirsaid Aripov (National University of Uzbekistan)
Title: The Fujita and secondary type critical exponents in nonlinear parabolic equations      and systems
Number of pages: 12

3) Makhmud Sadybekov (Institute of Mathematics and Mathematical Modeling, Kazakhstan) 
Nurgissa Yessirkegenov (Imperial College London, UK)
Title: On a generalized Samarskii-Ionkin type problem for the Poisson equation.
Number of pages: 9

4) Shakirbay G. Kasimov and Mahkambek M. Babaev (National University of Uzbekistan)
Title: On the convergence of the means spectral expansions, corresponding to the pseudodifferential operators for distributions from the Sobolev-Liouville classes.  
Number of pages: 8

5) Tahir Tuychiev (National University of Uzbekistan)
Title: On the extension of functions which allows the holomorphic extension on parallel sections
Number of pages: 18
6) Azimbay Sadullaev (National University of Uzbekistan)
     Title:  Recent developments in Pluripotential Theory (survey)
      Number of pages: 12 

      7)  Azimbay Sadullaev (National University of Uzbekistan
           Zafar Ibragimov (Urgench State University, Uzbekistan)
      Title:  Finite order class R of A.A.Gonchar,
    Number of pages: 12 

     8)  Bakhrom Abdullaev (Urgench State University, Uzbekistan)
          Sevdiyor Imomkulov (Navoiy State Pedagogical Institute, Uzbekistan)
          Rasul Sharipov (Urgench State University, Uzbekistan)
      Title:  A removable singular sets of m-subharmonic functions,
    Number of pages: 14

     9)   Alimardon Atamuratov (Urgench State University, Uzbekistan)
           Title:  Polynomials on regular parabolic manifolds,
          Number of pages: 25

10) Bazar Babajanov (Urgench State University, Uzbekistan) 
Title: Integration of the Toda-type chain with self-consistent source via inverse scattering 
method
        Number of pages: 12.

     11) Vladimir I. Chilin and Kobiljon K. Muminov (National University of Uzbekistan)
 Title: A transcendence basis in the differential field of invariants for the pseudo-Galilean 
          group
Number of pages: 14.

      12) Rustam Z. Abdullaev (Institute of Mathematics, Uzbekistan)  
Vladimir I. Chilin (National University of Uzbekistan)
Title:  Isomorphic classification of involutive algebras of Log-integrable measurable 
functions
 Number of pages: 12.

      13) Bayrambay Otemuratov (Karakalpak State University, Uzbekistan)
      Title: A multidimensional boundary analogue of Hartogs's theorem on n-circular domains
     Number of pages: 14

      14) Gulmirza Khudayberganov and Bukharbay Kurbanov (National University of 
Uzbekistan)
Title: The boundary theorem of Morera for unbounded realization of a matrix ball.
Number of pages: 9.

     15) Shirali Kadyrov and Yershat Sapazhanov (Suleyman Demirel University, Kazakhstan)
Title: Polynomial estimates over exponential curves in $\mathbb C^2$
Number of pages: 8. 

    16) Utkir A. Rozikov (Institute of Mathematics, Uzbekistan)
Title:Holliday junctions for the Potts model of DNA: Gibbs measures. 
Number of pages: 12.

     17) Isomiddin S. Rakhimov (University Putra Malaysia)
      Title:  On extensions of some classes of algebras 
    Number of pages: 16 

     18) Farkhod N. Ibragimov and Nadim K. Kasymov (National University of Uzbekistan)
          Title: Uniformly computable separable models
Number of pages: 20


19) Nasridin M. Jabborov and Shokhrukh Khursanov (National University of Uzbekistan)
      Title: A(z)-harmonic functions and some properties.
      Number of pages: 15.
20) Nasridin M. Jabborov and Temir U. Otaboev (National University of Uzbekistan)
      Title: A(z)-analytical functions and Weierstrass theorem
      Number of pages: 10.
21) Barlikbay B. Prenov (Nukus State Pedagogical Institute, Uzbekistan)                                                                                   Title: On the number of real zeros of entire functions of finite order of growth.                     Number of pages: 7.

 22) Shavkat Ayupov (Institute of Mathematics, Uzbekistan)
       Karimbergen Kudaybergenov (Karakalpak State University, Uzbekistan)
       Title: Local automorphisms on finite-dimensional Lie and Leibniz algebras.
       Number of pages: 12.
     23)  Djurabay Tishabaev (National University of Uzbekistan)
        Title: Geometrical principles of A(z)-analytical functions
        Number of pages: 10.
24) Shakhlo A. Sadullaeva (Tashkent University of Information Technologies, Uzbekistan)
  Title: Properties of solutions of the Cauchy problem for degenerate nonlinear cross systems   with convective transfer and absorption. Number of pages:  8.
      25)  Golib I. Botirov and Muzaffar M. Rahmatullaev (Institute of Mathematics, Uzbekistan)
Title: Ground states for Potts model with a countable set of spin values on a Cayley tree.
Number of pages: 15.
        26)  Iskandar A. Sattarov (Institute of Mathematics, Uzbekistan)
 Title: Ergodicity properties of 2-adic (2,1)-rational dynamical systems with unique fixed  
           point.
 Number of pages: 8.
        27) Jobir Adashev (Institute of Mathematics, Uzbekistan)
 Title: Maximal solvable extension of Leibniz algebras with naturally graded p-filiform 
           nilradicals
Number of pages: 8.

28)  Jumabek Seypullaev (Karakalpak State University, Uzbekistan)
       Title: Description of facially symmetric spaces with unitary tripotents
       Number of pages: 8.

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