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E-raamat: Topics in Several Complex Variables

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  • Formaat: 156 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jan-2017
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470430016
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  • Formaat: 156 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jan-2017
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470430016
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This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USA-Uzbekistan Conference on Analysis and Mathematical Physics from May 20-23, 2014, at California State University, Fullerton.

This volume covers a wide variety of topics in pluripotential theory, symplectic geometry and almost complex structures, integral formulas, holomorphic extension, and complex dynamics. In particular, the reader will find articles on Lagrangian submanifolds and rational convexity, multidimensional residues, S-parabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.
Preface vii
Polynomials on parabolic manifolds
1(22)
Aydin Aytuna
Azimbay Sadullaev
Pseudoholomorphic discs and symplectic structures in Hilbert space
23(28)
Alexandre Sukhov
Alexander Tumanov
Pluripolarity of graphs of quasianalytic functions of several complex variables
51(20)
Zafar Ibragimov
Lagrangian inclusion with an open Whitney umbrella is rationally convex
71(6)
Rasul Shafikov
Alexandre Sukhov
On systems of non-algebraic equations in Cn
77(12)
Aleksandr M. Kytmanov
Olga V. Khodos
Integral formulas for some matrix domains
89(8)
Gulmirza Khudayberganov
Uktam Rakhmonov
Zokir Matyakubov
Nevanlinna's characteristic functions with complex Hessian potential
97(10)
Bakhrom Abdullaev
Holomorphic continuation of functions in the domains with singular boundaries
107(10)
D. Kh. Djumabaev
Segre varieties and uniform estimates for harmonic functions
117(4)
Sergey Pinchuk
Klas Diederich
Uniqueness property for Gonchar quasianalytic functions of several variables
121(10)
Sevdiyor Imomkulov
Zafar Ibragimov
Capacity dimension of the Perez-Marco set
131(8)
Karim Rakhimov
Analogue of the Lelong's theorem for m -- wsh functions
139(6)
B. I. Abdullaev
A. A. Atamuratov
M. D. Vaisova
Pluriregular compacts in Pn
145
Azimbay Sadullaev
Zair Ibragimov, California State University, Fullerton, CA, USA.

Norman Levenberg and Sergey Pinchuk, Indiana University, Bloomington, IN, USA.

Azimbay Sadullaev, National University of Uzbekistan, Tashkent, Uzbekistan.