A Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis

Moreno Garcia Arsenio; Moreno Garcia Tania; Abreu Blaya RicardoBory Reyes Juan

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A Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis

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摘要

In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich equation , where stands for the first-order vector-valued rotation invariant differential operator in the Euclidean space , called Dirac operator. Such a solutions are referred in the literature as inframonogenic functions and represent an extension of the monogenic functions, i.e., null solutions of , which represent higher-dimensional generalizations of the classic Cauchy-Riemann operator.

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来源
《Advances in applied Clifford algebras》 |2017年第2期|1147-1159|共13页
作者
Moreno Garcia Arsenio; Moreno Garcia Tania; Abreu Blaya RicardoBory Reyes Juan;
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作者单位

Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba;

Inst Politecn Nacl SEPI ESIME ZAC, Mexico City 07738, DF, Mexico;

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原文格式 PDF
正文语种英语
中图分类代数、数论、组合理论;
关键词
Clifford analysis; Cauchy integral formula; Dirac operator;

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A Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis

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