Journal of Applied Mathematics 
Volume 2005 (2005), Issue 2, Pages 93-115
doi:10.1155/JAM.2005.93

Approximate solutions of equations defined by complex spherical multiplier operators

C. P. Oliveira

 Instituto de Ciências Exatas, Universidade Federal de Itajubá, Caixa Postal 50, Itajubá 37500-903, MG, Brazil
Received 20 January 2004; Revised 9 December 2004

Abstract

This paper studies, in a partial but concise manner, approximate solutions of equations defined by complex spherical multiplier operators. The approximations are from native spaces embedded in Sobolev-type spaces and derived from the use of positive definite functions to perform spherical interpolation.