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Original Articles

Hypergeometric functions and the ultrahyperbolic Dirac operator

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Pages 833-843 | Received 28 Jun 2005, Published online: 30 Jan 2007

References

  • Brackx , F. , Delanghe , R. and Sommen , F. 1982 . “ Clifford analysis ” . In Research Notes in Mathematics , Vol. 76 , London : Pitman .
  • Delanghe , R. , Sommen , F. and Sou[cbreve]ek , V. 1992 . Clifford Algebra and Spinor-valued Functions , Dordrecht : Kluwer Academic Publishers .
  • Gilbert , J. and Murray , M. A.M. 1991 . Clifford Algebras and Dirac Operators in Harmonic Analysis , Cambridge : Cambridge University Press .
  • Delanghe , R. 2001 . Clifford analysis: history and perspective . Computational Methods and Functions Theory , 1 : 107 – 153 .
  • Nash , J. 1956 . The embedding problem for Riemannian manifolds . Annals of Mathematics , 63 ( 2 ) : 20 – 63 .
  • Calderbank , D. 1996 . Dirac Operators and Clifford Analysis on Manifolds with Boundary , Bonn : Max Planck Institute for Mathematics .
  • Cnops , J. 2002 . “ An introduction to Dirac operators on manifolds ” . In Progress Notes in Mathematical Physics , Vol. 24 , Boston : Birkhäuser .
  • Eelbode , D. and Sommen , F. 2004 . Taylor series on the hyperbolic unit ball . Bulletin of the Belgian Mathematical Society , 11 : 719 – 737 .
  • Eelbode , D. 2004 . “ Clifford analysis on the hyperbolic unit ball ” . PhD thesis, Gent University, Gent (Belgium)
  • Gel'Fand , I. M. , Gindikin , S. G. and Graev , M. I. 1982 . Integral geometry in affine and projective spaces . Journal of Mathematical Sciences , 18 : 39 – 167 .
  • Van Lancker , P. 1997 . “ Clifford analysis on the unit sphere ” . PhD thesis, Gent University, Gent (Belgium)
  • Erdelyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F. G. 1953 . Higher Transcendental Functions , New York : McGraw-Hill .
  • Cerejeiras , P. , Kähler , U. and Sommen , F. 1983 . Clifford analysis on projective hyperbolic space . Journal of Natural Geometry , 22 : 19 – 34 .
  • Isham , C. J. 2001 . Modern Differential Geometry for Physicists , Vol. 61 , Singapore : World Scientific Lecture Notes in Physics .
  • Eelbode , D. 2003 . Solutions for the hyperbolic Dirac equation on ℝ1m . Complex Variables, Theory Applications , 48 ( 5 ) : 377 – 395 .
  • Hochstadt , H. 1973 . Les fonctions de la physique mathématique , Paris : Masson et Compagnie .

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