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.

Inhalt
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 systemsNumber 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 sectionsNumber of pages: 186)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 groupNumber 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&lt...