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Title: Fischer decomposition in generalized fractional Clifford Analysis
Author: Cerejeiras, Paula
Fonseca, Aurineide
Kähler, Uwe
Vieira, Nelson
Keywords: Fractional monogenic polynomials
Fischer decomposition
Fractional Clifford analysis
Fractional Dirac operator
Gelfond-Leontiev operators
Issue Date: Sep-2017
Publisher: Birkhäuser
Abstract: 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.
DOI: 10.1007/978-3-319-62362-7_3
ISBN: 978-3-319-62361-0
Appears in Collections:CIDMA - Capítulo de livro
CHAG - Capítulo de livro

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