On Some Conformally Invariant Operators in Euclidean Space
Complex Variables
2016-12-07 v6 Mathematical Physics
math.MP
Abstract
The aim of this paper is to correct a mistake in earlier work on the conformal invariance of Rarita-Schwinger operators and use the method of correction to develop properties of some conformally invariant operators in the Rarita-Schwinger setting. We also study properties of some other Rarita-Schwinger type operators, for instance, twistor operators and dual twistor operators. This work is also intended as an attempt to motivate the study of Rarita-Schwinger operators via some representation theory. This calls for a review of earlier work by Stein and Weiss.
Cite
@article{arxiv.1509.00098,
title = {On Some Conformally Invariant Operators in Euclidean Space},
author = {Chao Ding and John Ryan},
journal= {arXiv preprint arXiv:1509.00098},
year = {2016}
}