The convergence of Galerkin-Petrov methods for Dirichlet projections

被引：1
|
作者：
He, Li [1 ]
Li, Yifang [1 ]
Zhang, Yiyuan [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Galerkin-Petrov methods; Toeplitz operators; Dirichlet type spaces; Polynomial collocation; Analytic element collocation; TOEPLITZ-OPERATORS; SPACES;
D O I：
10.1007/s43034-023-00284-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the convergence of several Galerkin-Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry.
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页数：16
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