CUBO A Mathematical Journal Vol.13, Nº 02, (85-117). June 2011

Differential forms versus multi-vector functions in Hermitean Clifford analysis

F. Brackx, H. De Schepper and V. Souek
Ghent University Faculty of Engineering Department of Mathematical Analysis Gent, Belgium email: fb@cage.ugent.be

Charles University Faculty of Mathematics and Physics Praha, Czech Republic

ABSTRACT
Similarities are shown between the algebras of complex differential forms and of complex Clifford algebra-valued multi-vector functions in an open region of Euclidean space of even dimension.

Keywords and phrases: complex differential forms, multi-vector functions, Hermitean Clifford
analysis. Mathematics Subject Classification: 30G35.

RESUMEN
Se presentan las similitudes entre las álgebras de formas diferenciales complejas y de las funciones de álgebras de Clifford complejas con valores de múltiples vectores aplicados en una región abierta del espacio euclidiano de dimensión par.

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Received: December 2009. Revised: April 2010.