English

Some Rarita-Schwinger Type Operators

Complex Variables 2012-11-01 v2

Abstract

In this paper we study a generalization of the classical Rarita-Schwinger type operators and construct their fundamental solutions. We give some basic integral formulas related to these operators. We also establish that the projection operators appearing in the Rarita-Schwinger operators and the Rarita-Schwinger equations are conformally invariant. We further obtain the intertwining operators for other operators related to the Rarita-Schwinger operators under actions of the conformal group.

Keywords

Cite

@article{arxiv.1102.1205,
  title  = {Some Rarita-Schwinger Type Operators},
  author = {Charles F. Dunkl and Junxia Li and John Ryan and Peter Van Lancker},
  journal= {arXiv preprint arXiv:1102.1205},
  year   = {2012}
}

Comments

23pages

R2 v1 2026-06-21T17:22:24.931Z