Approximate solutions of equations defined by complex spherical multiplier operators

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 interpolat...

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Main Author: C. P. Oliveira
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.93
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author C. P. Oliveira
author_facet C. P. Oliveira
author_sort C. P. Oliveira
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description 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.
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language English
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series Journal of Applied Mathematics
spelling doaj-art-ade9315f1a8e40ecacee95ecb759062e2025-02-03T05:46:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-01200529311510.1155/JAM.2005.93Approximate solutions of equations defined by complex spherical multiplier operatorsC. P. Oliveira0Instituto de Ciências Exatas, Universidade Federal de Itajubá, Caixa Postal 50, Itajubá 37500-903, MG, BrazilThis 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.http://dx.doi.org/10.1155/JAM.2005.93
spellingShingle C. P. Oliveira
Approximate solutions of equations defined by complex spherical multiplier operators
Journal of Applied Mathematics
title Approximate solutions of equations defined by complex spherical multiplier operators
title_full Approximate solutions of equations defined by complex spherical multiplier operators
title_fullStr Approximate solutions of equations defined by complex spherical multiplier operators
title_full_unstemmed Approximate solutions of equations defined by complex spherical multiplier operators
title_short Approximate solutions of equations defined by complex spherical multiplier operators
title_sort approximate solutions of equations defined by complex spherical multiplier operators
url http://dx.doi.org/10.1155/JAM.2005.93
work_keys_str_mv AT cpoliveira approximatesolutionsofequationsdefinedbycomplexsphericalmultiplieroperators