Covariant differential operators and Green's functions
Volume 66 / 1997
Annales Polonici Mathematici 66 (1997), 77-103
DOI: 10.4064/ap-66-1-77-103
Abstract
The basic idea of this paper is to use the covariance of a partial differential operator under a suitable group action to determine suitable associated Green's functions. For instance, we offer a new proof of a formula for Green's function of the mth power $Δ^m$ of the ordinary Laplace's operator Δ in the unit disk
