GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE  

作　　者：王晓峰 曹广福 

机构地区：[1]Department of Mathematics and Information Science Guangzhou University

出　　处：《Acta Mathematica Scientia》2007年第2期308-316,共9页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (10371082);Chinese National Natural Science Foundation Committee Tianyuan Foundation (10526040);Guangzhou University Doctor Foundation (WXF-1001)

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.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 

分 类 号：O174.5[理学—数学]