TY - JOUR
T1 - Duality for Hermitean Systems in ℝ 2n
AU - Abreu-Blaya, Ricardo
AU - Bory-Reyes, Juan
AU - Delanghe, Richard
AU - Sommen, Frank
N1 - Funding Information:
Acknowledgements This paper was written while the first author was visiting the Department of Mathematical Analysis of Ghent University. He was supported by the Research Foundation of Flanders. Ricardo Abreu Blaya wishes to thank the members of the Clifford Research Group in Ghent for their kind hospitality.
PY - 2012/4
Y1 - 2012/4
N2 - In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize the dual of the (Fréchet) space of germs of left Hermitean monogenic matrix functions in a compact set E ⊂ ℝ 2n. As an application we describe the dual space of the so-called h-monogenic functions satisfying simultaneously two Dirac type equations.
AB - In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize the dual of the (Fréchet) space of germs of left Hermitean monogenic matrix functions in a compact set E ⊂ ℝ 2n. As an application we describe the dual space of the so-called h-monogenic functions satisfying simultaneously two Dirac type equations.
KW - Duality theory
KW - Hermitean Clifford analysis
UR - http://www.scopus.com/inward/record.url?scp=84858795704&partnerID=8YFLogxK
U2 - 10.1007/s11785-010-0098-x
DO - 10.1007/s11785-010-0098-x
M3 - Artículo
SN - 1661-8254
VL - 6
SP - 341
EP - 357
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 2
ER -