CHARACTERIZATIONS OF SYMMETRIZED POLYDISC

被引：2

作者：

Gorai, Sushil ^{[1
]}

Sarkar, Jaydeb ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res Kolkata, Dept Math & Stat, Mohanpur 741246, W Bengal, India

[2] Indian Stat Inst, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, Karnataka, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 03期

关键词：

Symmetrized polydisc; Schur theorem; positive definite matrix; NEVANLINNA-PICK PROBLEM; BIDISC;

D O I：

10.1007/s13226-016-0174-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma(n), n >= 2, denote the symmetrized polydisc in C-n, and Gamma(1) be the closed unit disc in C. We provide some characterizations of elements in Gn. In particular, an element ( s(1),..., s(n- 1), p) epsilon C-n is in Gamma(n) if and only if s(j) = beta(j) + (beta(n-jp)) over bar, j = 1,..., n - 1, for some (beta(1),..., beta(n-1)) epsilon Gamma(n-1), and vertical bar p vertical bar <= 1.

引用

页码：391 / 397

页数：7

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