Metamorphism as a covariant transform for the SSR group

Abstract

Metamorphism is a recently introduced integral transform, which is useful in solving partial differential equations. Basic properties of metamorphism can be verified by direct calculations. In this paper, we present metamorphism as a sort of covariant transform and derive its most important features in this way. Our main result is a characterisation of metamorphism’s image space. Reading this paper does not require advanced knowledge of group representations or theory of covariant transform.