Open Access
March 2007 On a Higher Order Cauchy-Pompeiu Formula for Functions with Values in a Universal Clifford Algebra
Zhang Zhongxiang
Bull. Belg. Math. Soc. Simon Stevin 14(1): 87-97 (March 2007). DOI: 10.36045/bbms/1172852246

Abstract

By constructing suitable kernel functions, a higher order Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra is obtained, leading to a higher order Cauchy integral formula.

Citation

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Zhang Zhongxiang. "On a Higher Order Cauchy-Pompeiu Formula for Functions with Values in a Universal Clifford Algebra." Bull. Belg. Math. Soc. Simon Stevin 14 (1) 87 - 97, March 2007. https://doi.org/10.36045/bbms/1172852246

Information

Published: March 2007
First available in Project Euclid: 2 March 2007

zbMATH: 1140.35379
MathSciNet: MR2327328
Digital Object Identifier: 10.36045/bbms/1172852246

Subjects:
Primary: 30G35‎ , 31B05 , 35C10

Keywords: Cauchy-Pompeiu formula , kernel function , Universal Clifford algebra

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 1 • March 2007
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