Monogenic vector fields on the poincaré manifold

References

• Cnops , J. 1993 . “ Spherical geometry and Möbius transformations ” . In Clifford Algebras and Their Applications in Mathematical Physics , Edited by: Brackx , F. and Serras , H. 75 – 84 . Kluwer .
   Google Scholar
• Cnops , J. 1996 . “ Vahlen matrices for non-definite metrics ” . In Clifford Algebras with Numeric and Symbolic Computations , Edited by: Ablamowicz , R. 155 – 164 . Birkhäuser .
   Google Scholar
• Cnops , J. 1996 . Representations of spin(l,n) and related groups by Clifford algebra valued functions . to appear
   Google Scholar
• Common , A. 1992 . Axial monogenic Clifford-Padé approximants . J. Approx. Theory , 68 : 206 – 222 .
   Google Scholar
• Delanghe , R. , Sommen , F. and Souček , V. 1992 . Clifford Analysis and Spinor Valued Functions , Dordrecht : Kluwer Acad. Publ. .
   Google Scholar
• Faraut , J. 1980 . “ Analyse Harmonique sur les paires de Guelfand et les espaces hyperboliques ” . In Analyse Harmonique , Nice : les cours de CIMPA . Chapter 4.
   Google Scholar
• Fillmore , J. and Springer , A. 1990 . Möbius groups over general fields using Clifford algebras associated with spheres . Int. J. Theo. Phys. , 29 : 225 – 246 .
   Google Scholar
• Gilbert , J. and Murray , M. 1991 . Clifford Algebras and Dirac Operators in Harmonic Analysis , Cambridge University Press .
   Google Scholar
• Haantjes , J. 1937 . Conformal representations of an n-dimensional Euclidean space with a non-definite fundamental form on itself . Proc. Kon. Nederl. Acad. Wetensch. , 40 : 700 – 705 .
   Google Scholar
• Leutwiler , H. 1991 . Modified Clifford analysis . Complex Variables , 17 : 153 – 171 .
   Google Scholar
• Leutwiler , H. 1992 . Modified quaternionic analysis in . Complex Variables , 20 : 19 – 51 .
   Google Scholar
• Leutwiler , H. 1995 . More on modified quaternionic analysis in . Forum Math. , 7 : 279 – 305 .
   Web of Science ®Google Scholar
• Leutwiler , H. 1996 . “ Remarks on modified Clifford analysis ” . In Potential theory - ICPT 94 , 389 – 397 . de Gruyter . Kouty, 1994
   Google Scholar
• Porteous , I. 1995 . Clifford Algebras and the Classical Groups , Cambridge University Press . Cambridge studies in advanced mathematics 50
   Google Scholar
• Elstrodt , J. , Grunewald , F. and Mennicke , J. 1987 . Vahlen's group of Clifford matrices and spin groups . Math. Z. , 196 : 369 – 390 .
   Google Scholar