Vector-valued covariant differential operators for the M\"obius transformation
Representation Theory
2015-01-27 v2 Classical Analysis and ODEs
Abstract
We obtain a family of functional identities satisfied by vector-valued functions of two variables and their geometric inversions. For this we introduce particular differential operators of arbitrary order attached to Gegenbauer polynomials. These differential operators are symmetry breaking for the pair of Lie groups that arise from conformal geometry.
Cite
@article{arxiv.1406.0674,
title = {Vector-valued covariant differential operators for the M\"obius transformation},
author = {Toshiyuki Kobayashi and Toshihisa Kubo and Michael Pevzner},
journal= {arXiv preprint arXiv:1406.0674},
year = {2015}
}
Comments
To appear in Springer Proceedings in Mathematics and Statistics