TY - JOUR
T1 - A Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis
AU - García, Arsenio Moreno
AU - García, Tania Moreno
AU - Blaya, Ricardo Abreu
AU - Reyes, Juan Bory
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich equation ∂x̲f∂x̲=0, where ∂x̲ stands for the first-order vector-valued rotation invariant differential operator in the Euclidean space Rm, 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 ∂x̲, which represent higher-dimensional generalizations of the classic Cauchy–Riemann operator.
AB - In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich equation ∂x̲f∂x̲=0, where ∂x̲ stands for the first-order vector-valued rotation invariant differential operator in the Euclidean space Rm, 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 ∂x̲, which represent higher-dimensional generalizations of the classic Cauchy–Riemann operator.
KW - Cauchy integral formula
KW - Clifford analysis
KW - Dirac operator
UR - http://www.scopus.com/inward/record.url?scp=85001133424&partnerID=8YFLogxK
U2 - 10.1007/s00006-016-0745-z
DO - 10.1007/s00006-016-0745-z
M3 - Artículo
AN - SCOPUS:85001133424
SN - 0188-7009
VL - 27
SP - 1147
EP - 1159
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 2
ER -