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Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10314/5210
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| 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)
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Ficheiros deste Registo:
| Ficheiro |
Descrição |
Tamanho | Formato |
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| OTHA18_HM_IC_IF_GT.pdf | | 381Kb | Adobe PDF | Ver/Abrir | |
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