Geodesic
Rarita-Schwinger type operators on spheres and real projective space
Archivum mathematicum, Tome 48 (2012) no. 4, pp. 271-289

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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.
DOI : 10.5817/AM2012-4-271
Classification : 30G35, 53C27
Keywords: spherical Rarita-Schwinger type operators; Cayley transformation; real projective space; Almansi-Fischer decomposition; Iwasawa decomposition 
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Li, Junxia; Ryan, John; Vanegas, Carmen J. Rarita-Schwinger type operators on spheres and real projective space. Archivum mathematicum, Tome 48 (2012) no. 4, pp. 271-289. doi: 10.5817/AM2012-4-271

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