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Hermitian Clifford Analysis on Superspace

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Abstract

In this paper we first recall the proper algebraic framework, i.e. the radial algebra, needed to extend Hermitian Clifford analysis to the superspace setting. The fundamental objects for this extension then are introduced by means of an abstract complex structure on the Hermitian radial algebra. This leads to a natural representation of this Hermitian radial algebra on superspace.

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Correspondence to Alí Guzmán Adán.

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Communicated by Vladimír Soucek.

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De Schepper, H., Adán, A.G. & Sommen, F. Hermitian Clifford Analysis on Superspace. Adv. Appl. Clifford Algebras 28, 5 (2018). https://doi.org/10.1007/s00006-018-0824-4

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  • DOI: https://doi.org/10.1007/s00006-018-0824-4

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