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Softcover ISBN:  9781470419271 
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Book DetailsContemporary MathematicsVolume: 662; 2016; 156 ppMSC: Primary 31; 32; 30; 53; 46
This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USAUzbekistan 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, Sparabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.
ReadershipGraduate students and research mathematicians interested in several complex analysis.

Table of Contents

Articles

Aydın Aytuna and Azimbay Sadullaev — Polynomials on parabolic manifolds

Alexandre Sukhov and Alexander Tumanov — Pseudoholomorphic discs and symplectic structures in Hilbert space

Zafar Ibragimov — Pluripolarity of graphs of quasianalytic functions of several complex variables

Rasul Shafikov and Alexandre Sukhov — Lagrangian inclusion with an open Whitney umbrella is rationally convex

Aleksandr M. Kytmanov and Olga V. Khodos — On systems of nonalgebraic equations in $\mathbb C^n$

Gulmirza Khudayberganov, Uktam Rakhmonov and Zokir Matyakubov — Integral formulas for some matrix domains

Bakhrom Abdullaev — Nevanlinna’s characteristic functions with complex Hessian potential

D. Kh. Djumabaev — Holomorphic continuation of functions in the domains with singular boundaries

Sergey Pinchuk and Klas Diederich — Segre varieties and uniform estimates for harmonic functions

Sevdiyor Imomkulov and Zafar Ibragimov — Uniqueness property for Gonchar quasianalytic functions of several variables

Karim Rakhimov — Capacity dimension of the PerezMarco set

B. I. Abdullaev, A. A. Atamuratov and M. D. Vaisova — Analogue of the Lelong’s theorem for $m  wsh$ functions

Azimbay Sadullaev — Pluriregular compacts in ${{\mathbb {P}}^{n}}$


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This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USAUzbekistan 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, Sparabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.
Graduate students and research mathematicians interested in several complex analysis.

Articles

Aydın Aytuna and Azimbay Sadullaev — Polynomials on parabolic manifolds

Alexandre Sukhov and Alexander Tumanov — Pseudoholomorphic discs and symplectic structures in Hilbert space

Zafar Ibragimov — Pluripolarity of graphs of quasianalytic functions of several complex variables

Rasul Shafikov and Alexandre Sukhov — Lagrangian inclusion with an open Whitney umbrella is rationally convex

Aleksandr M. Kytmanov and Olga V. Khodos — On systems of nonalgebraic equations in $\mathbb C^n$

Gulmirza Khudayberganov, Uktam Rakhmonov and Zokir Matyakubov — Integral formulas for some matrix domains

Bakhrom Abdullaev — Nevanlinna’s characteristic functions with complex Hessian potential

D. Kh. Djumabaev — Holomorphic continuation of functions in the domains with singular boundaries

Sergey Pinchuk and Klas Diederich — Segre varieties and uniform estimates for harmonic functions

Sevdiyor Imomkulov and Zafar Ibragimov — Uniqueness property for Gonchar quasianalytic functions of several variables

Karim Rakhimov — Capacity dimension of the PerezMarco set

B. I. Abdullaev, A. A. Atamuratov and M. D. Vaisova — Analogue of the Lelong’s theorem for $m  wsh$ functions

Azimbay Sadullaev — Pluriregular compacts in ${{\mathbb {P}}^{n}}$