Bochner-Martinelli formula in superspace

Juan Bory Reyes; Alí Guzmán Adán; Frank Sommen

doi:10.1002/mma.5303

Bochner-Martinelli formula in superspace

Juan Bory Reyes, Alí Guzmán Adán, Frank Sommen

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

Abstract

In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been established and amply developed. In this paper, we address the problem of establishing Cauchy integral formulae in the framework of Hermitian Clifford analysis in superspace. This allows us to obtain a successful extension of the classical Bochner-Martinelli formula to superspace by means of the corresponding projections on the space of spinor-valued superfunctions.

Original language	English
Pages (from-to)	9449-9476
Number of pages	28
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	18
DOIs	https://doi.org/10.1002/mma.5303
State	Published - Dec 2018

Keywords

Bochner-Martinelli integral formula
Hermitian Clifford analysis
several complex variables
superanalysis

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Bochner-Martinelli formula in superspace

Abstract

Keywords

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