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Original Articles

Structure of solutions of polynomial Dirac equations in Clifford analysis

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Pages 15-24 | Received 09 Sep 2003, Published online: 30 Aug 2006

References

References

  • Brackx F Delanghe R Sommen F 1982 Clifford analysis Research Notes in Mathematics 76 Pitman London
  • Zhenyuan , Xu . 1991 . A function theory for the operator D−λ . Complex Variables , 16 : 37 – 42 .
  • Kisil , VV . 1995 . Connection between different function Theories in Clifford analysis . Advances in Applied Clifford Algebras , 5 ( 1 ) : 63 – 74 .
  • Ryan , J . 1996 . Intrinsic Dirac operators in . Cn. Advances in Mathematics , 118 : 99 – 133 .
  • Delanghe , R and Brackx , F . 1978 . Hypercomplex function theory and Hilbert modules with reproducing kernel . Proc. London Math. Soc. , 37 : 545 – 578 .
  • Ryan , John . 1990 . Iterated Dirac operators in . Cn. Zeitschrift für Analysis und ihre Anwendungen , 9 : 385 – 401 .
  • Sommen F Zhenyuan Xu 1992 Fundamental solutions for operators which are polynomials in the Dirac operator In: A. Micali, R. Boudet and J. Helmstetter (Eds.) Clifford Algebra and Their Applications in Mathematical Physics pp. 313–326 Dordrecht Kluwer
  • Ryan , John . 1995 . Cauchy-Green type formulae in Clifford analysis . Trans. Amer. Math. Soc. , 347 ( 4 ) : 1331 – 1341 .
  • Ryan John Introductory Clifford Analysis, Preprint (personal communication)

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