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Fischer decomposition by inframonogenic functions

dc.creatorMalonek, Helmuth R.
dc.creatorPeña, Dixan
dc.creatorSommen, Frank
dc.date2010-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1414
dc.identifier10.4067/S0719-06462010000200012
dc.descriptionLet ∂x denote the Dirac operator in ℝm. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation ∂xf∂x = 0. The solutions of this “sandwich” equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in ℝm.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1414/1267
dc.sourceCUBO, A Mathematical Journal; Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal; 189–197en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 12 Núm. 2 (2010): CUBO, A Mathematical Journal; 189–197es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectInframonogenic functionsen-US
dc.subjectFischer decompositionen-US
dc.titleFischer decomposition by inframonogenic functionsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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