Fischer decomposition in generalized fractional Clifford Analysis

In this paper we present the basic tools of a fractional function theory in higher dimensions by means of a fractional correspondence to the Weyl relations via Gelfond-Leontiev operators of generalized di erentiation. A Fischer decomposition is established. Furthermore, we give an algorithm for the...

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Detalhes bibliográficos
Autor principal: Cerejeiras, Paula (author)
Outros Autores: Fonseca, Aurineide (author), Kähler, Uwe (author), Vieira, Nelson (author)
Formato: bookPart
Idioma:eng
Publicado em: 2017
Assuntos:
Texto completo:http://hdl.handle.net/10773/18684
País:Portugal
Oai:oai:ria.ua.pt:10773/18684
Descrição
Resumo:In this paper we present the basic tools of a fractional function theory in higher dimensions by means of a fractional correspondence to the Weyl relations via Gelfond-Leontiev operators of generalized di erentiation. A Fischer decomposition is established. Furthermore, we give an algorithm for the construction of monogenic homogeneous polynomials of arbitrary degree.