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Original Articles

Some operators associated with Rarita–Schwinger type operators

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Pages 885-902 | Received 14 Jun 2011, Accepted 25 Oct 2011, Published online: 21 Nov 2011

References

  • Bureš , J , Sommen , F , Souček , V and Van Lancker , P . 2001 . Rarita–Schwinger type operators in Clifford analysis . J. Funct. Anal. , 185 ( 2 ) : 425 – 455 .
  • Bureš , J , Sommen , F , Souček , V and Van Lancker , P . 2002 . Symmetric Analogues of Rarita–Schwinger Equations . Ann. Global Anal. Geom. , 21 : 215 – 240 .
  • Dunkl , C , Li , J , Ryan , J and Van Lancker , P . 2011 . Some Rarita–Schwinger Operators, 2011 (to appear). Available at http://arxiv.org/abs/1102.1205
  • Van Lancker , P . 2001 . “ Higher spin fields on smooth domains ” . In Clifford Analysis and Its Applications , Edited by: Brackx , F , Chisholm , JSR and Souček , V . 389 – 398 . Dordrecht : Kluwer .
  • Van Lancker , P . 2006 . Rarita–Schwinger fields in the half space . Complex Var. Elliptic Eqns , 51 : 563 – 579 .
  • Li , J , Ryan , J and Vanegas , C . 2011 . Some Rarita–Schwinger type operators on spheres and real projective space, 2011 (to appear). Available at http://arxiv.org/abs/1106.1943
  • Porteous , I . 1995 . Clifford Algebra and the Classical Groups , Cambridge : Cambridge University Press .
  • Brackx , F , Delanghe , R and Sommen , F . 1982 . Clifford Analysis , London : Pitman .
  • Ryan , J . 1990 . Iterated Dirac operators in Cn . Z. Anal. Anwen. , 9 : 385 – 401 .
  • Ahlfors , LV . 1984 . Old and new in Möbius groups . Ann. Acad. Sci. Fenn. Ser. A I Math. , 9 : 93 – 105 .
  • Vahlen , KTh . 1902 . Über Bewegungen und komplexe Zahlen . Math. Ann. , 55 ( 4 ) : 585 – 593 . (in German)
  • Cnops , J and Malonek , H . 1995 . “ An Introduction to Clifford Analysis ” . In Textos de Matemática, Série B [Texts in Mathematics, Series B], Vol. 7 Universidade de Coimbra, Departamento de Matemática, Coimbra, 1995, vi+64pp
  • Liu , H and Ryan , J . 2002 . Clifford analysis techniques for spherical PDE . J. Fourier Anal. Appl. , 8 ( 6 ) : 535 – 564 .
  • Ryan , J . 1997 . Dirac operators on spheres and hyperbolae . Boletin de la Sociedad Matemática Mexicana, (3) , 3 ( 2 ) : 255 – 270 .
  • Ryan , J . 1997 . Clifford analysis on spheres and hyperbolae . Math. Methods Appl. Sci. , 20 ( 18 ) : 1617 – 1624 .
  • Van Lancker , P . 1998 . “ Clifford Analysis on the Sphere ” . In Clifford Algebra and Their Application in Mathematical Physics (Aachen, 1996), Fundamental Theories of Physics , Vol. 94 , 201 – 215 . Dordrecht : Kluwer .

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