Metamorphism as a covariant transform for the SSR group

TL;DR

This paper introduces metamorphism as a covariant transform, providing a new perspective and characterization of its image space, simplifying understanding without advanced group theory knowledge.

Contribution

It presents metamorphism as a covariant transform and characterizes its image space, expanding the theoretical framework of this integral transform.

Findings

Metamorphism can be viewed as a covariant transform.

The image space of metamorphism is characterized.

Basic properties are verified through direct calculations.

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.