Articles

GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE

  • Wang Xiaofeng ,
  • Cao Guangfu
Expand
  • Department of Mathematics and Information Science, Guangzhou University, Guangzhou 510000, China

Received date: 2004-06-06

  Revised date: 1900-01-01

  Online published: 2007-04-20

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.

Cite this article

Wang Xiaofeng , Cao Guangfu . GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 308 -316 . DOI: 10.1016/S0252-9602(07)60031-9

Outlines

/