DSpace DSpace

Biblioteca Digital do IPG >
Escola Superior de Tecnologia e Gestão (ESTG) >
Artigos em Acta de Conferência Internacional (ESTG) >

Utilize este identificador para referenciar este registo: http://hdl.handle.net/10314/5210

Título: Harmonic Analysis and Hypercomplex Function Theory in Co-dimension One
Autores: Malonek, H.R.
Cação, I.
Falcão, M.I.
Tomaz, G.
Palavras Chave: Clifford algebras
Hypercomplex differential forms
Hypercomplex derivative
Hypercomplex Appell polynomials
Data: 29-Aug-2019
Editora: Springer
Relatório da Série N.º: Springer Proceedings in Mathematics & Statistics
Resumo: Fundamentals of a function theory in co-dimension one for Clifford algebra valued functions over R^n+1 are considered. Special attention is given to their origins in analytic properties of holomorphic functions of one and, by some duality reasons, also of several complex variables. Due to algebraic peculiarities caused by non-commutativity of the Clifford product, generalized holomorphic functions are characterized by two different but equivalent properties: on one side by local derivability (existence of a well-defined derivative related to co-dimension one) and on the other side by differentiability (existence of a local approximation by linear mappings related to dimension one). As important applications, sequences of harmonic Appell polynomials are considered whose definition and explicit analytic representations rely essentially on both dual approaches.
URI: http://hdl.handle.net/10314/5210
ISBN: 978-3-030-26747-6
Aparece nas Colecções:Artigos em Acta de Conferência Internacional (ESTG)

Ficheiros deste Registo:

Ficheiro Descrição TamanhoFormato
OTHA18_HM_IC_IF_GT.pdf381KbAdobe PDFVer/Abrir
Sugerir este item a um colega