OPTIMAL APPROXIMANTS AND ORTHOGONAL POLYNOMIALS IN SEVERAL VARIABLES II: FAMILIES OF POLYNOMIALS IN THE UNIT BALL

被引：5

作者：

Sargent, Meredith ^{[1
]}

Sola, Alan A. ^{[2
]}

机构：

[1] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA

[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 12期

关键词：

Spaces of holomorphic functions in the unit ball; optimal approximants; orthogonal polynomials; SPACES; CYCLICITY;

D O I：

10.1090/proc/15641

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain closed expressions for weighted orthogonal polynomials and optimal approximants associated with the function f(z) = 1/root 2 (z(1) + z(2)) and a scale of Hilbert function spaces in the unit 2-ball having reproducing kernel (1 - (z,w))(-gamma), gamma > 0. Our arguments are elementary but do not rely on reduction to the one-dimensional case.

引用

页码：5321 / 5330

页数：10

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