Rarita-Schwinger type operators on spheres and real projective space

Junxia Li; John Ryan; Carmen J. Vanegas

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 4, page 271-289
  • ISSN: 0044-8753

Abstract

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In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective space and construct their kernels and Cauchy integral formulas.

How to cite

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Li, Junxia, Ryan, John, and Vanegas, Carmen J.. "Rarita-Schwinger type operators on spheres and real projective space." Archivum Mathematicum 048.4 (2012): 271-289. <http://eudml.org/doc/251383>.

@article{Li2012,
abstract = {In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective space and construct their kernels and Cauchy integral formulas.},
author = {Li, Junxia, Ryan, John, Vanegas, Carmen J.},
journal = {Archivum Mathematicum},
keywords = {spherical Rarita-Schwinger type operators; Cayley transformation; real projective space; Almansi-Fischer decomposition; Iwasawa decomposition; spherical Rarita-Schwinger type operators; Cayley transformation; real projective space; Almansi-Fischer decomposition; Iwasawa decomposition},
language = {eng},
number = {4},
pages = {271-289},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Rarita-Schwinger type operators on spheres and real projective space},
url = {http://eudml.org/doc/251383},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Li, Junxia
AU - Ryan, John
AU - Vanegas, Carmen J.
TI - Rarita-Schwinger type operators on spheres and real projective space
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 4
SP - 271
EP - 289
AB - In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective space and construct their kernels and Cauchy integral formulas.
LA - eng
KW - spherical Rarita-Schwinger type operators; Cayley transformation; real projective space; Almansi-Fischer decomposition; Iwasawa decomposition; spherical Rarita-Schwinger type operators; Cayley transformation; real projective space; Almansi-Fischer decomposition; Iwasawa decomposition
UR - http://eudml.org/doc/251383
ER -

References

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