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Duality for Hermitean systems in R2n

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Abstract
In this paper, using the algebraic structure of the space of circulant (2 × 2) matrix, we characterize the dual of the (Frechet) space of germs of left Hermitean monogenic matrix functions in a compact set of Euclidean space with even di;ension. As an application we describe the dual space of the so-called h-monogenic functions satisfying simultaneously two Dirac type equations.
Keywords
CLIFFORD ANALYSIS, Hermitean Clifford analysis, Duality theory

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Citation

Please use this url to cite or link to this publication:

Chicago
Abreu-Blaya, Ricardo, Juan Bory-Reyes, Richard Delanghe, and Frank Sommen. 2012. “Duality for Hermitean Systems in R2n.” Complex Analysis and Operator Theory 6 (2): 341–357.
APA
Abreu-Blaya, R., Bory-Reyes, J., Delanghe, R., & Sommen, F. (2012). Duality for Hermitean systems in R2n. COMPLEX ANALYSIS AND OPERATOR THEORY, 6(2), 341–357.
Vancouver
1.
Abreu-Blaya R, Bory-Reyes J, Delanghe R, Sommen F. Duality for Hermitean systems in R2n. COMPLEX ANALYSIS AND OPERATOR THEORY. 2012;6(2):341–57.
MLA
Abreu-Blaya, Ricardo, Juan Bory-Reyes, Richard Delanghe, et al. “Duality for Hermitean Systems in R2n.” COMPLEX ANALYSIS AND OPERATOR THEORY 6.2 (2012): 341–357. Print.
@article{1156969,
  abstract     = {In this paper, using the algebraic structure of the space of circulant (2 {\texttimes} 2) matrix, we characterize the dual of the (Frechet) space of germs of left Hermitean monogenic matrix functions in a compact set of Euclidean space with even di;ension. As an application we describe the dual space of the so-called h-monogenic functions satisfying simultaneously two Dirac type equations.},
  author       = {Abreu-Blaya, Ricardo and Bory-Reyes, Juan and Delanghe, Richard and Sommen, Frank},
  issn         = {1661-8254},
  journal      = {COMPLEX ANALYSIS AND OPERATOR THEORY},
  keyword      = {CLIFFORD ANALYSIS,Hermitean Clifford analysis,Duality theory},
  language     = {eng},
  number       = {2},
  pages        = {341--357},
  title        = {Duality for Hermitean systems in R2n},
  url          = {http://dx.doi.org/10.1007/s11785-010-0098-x},
  volume       = {6},
  year         = {2012},
}

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