Metamorphism as a covariant transform for the SSR group
Analysis of PDEs
2023-05-09 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2301.05879,
title = {Metamorphism as a covariant transform for the SSR group},
author = {Taghreed Alqurashi and Vladimir V. Kisil},
journal= {arXiv preprint arXiv:2301.05879},
year = {2023}
}
Comments
15 pp. AMS-LaTeX; v2: minor improvements; v3: a couple of references is added