数学物理学报(英文版)

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GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE

王晓峰; 曹广福   

  1. 广州大学数学与信息学院, 广州 510000
  • 收稿日期:2004-06-06 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 王晓峰
  • 基金资助:

    Supported by the National Natural Science Foundation of China (10371082),
    Chinese National Natural Science Foundation Committee Tianyuan Foundation (10526040), and Guangzhou University Doctor Foundation (WXF-1001)

GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE

Wang Xiaofeng; Cao Guangfu   

  1. Department of Mathematics and Information Science, Guangzhou University, Guangzhou 510000, China
  • Received:2004-06-06 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Wang Xiaofeng

摘要:

The convergence of several Galerkin--Petrov methods, including polynomial collocation and analytic element collocation methods of Toeplitz operators on Dirichlet space, is established. In particular, it is shown that such methods converge if the basis and test function own certain circular symmetry.

关键词: Galerkin-Petrov methods, polynomial collocation, analytic element collocation,
Toeplitz operators,
Dirichlet space

Abstract:

The convergence of several Galerkin--Petrov methods, including polynomial collocation and analytic element collocation methods of Toeplitz operators on Dirichlet space, is established. In particular, it is shown that such methods converge if the basis and test function own certain circular symmetry.

Key words: Galerkin-Petrov methods, polynomial collocation, analytic element collocation,
Toeplitz operators,
Dirichlet space

中图分类号: 

  • 47B35