Metamorphism as a covariant transform for the SSR group

Autor: Alqurashi, Taghreed, Kisil, Vladimir V.
Rok vydání: 2023
Předmět:
Zdroj: Bol. Soc. Mat. Mex. 29, 35 (2023)
Druh dokumentu: Working Paper
DOI: 10.1007/s40590-023-00505-3
Popis: 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.
Comment: 15 pp. AMS-LaTeX; v2: minor improvements; v3: a couple of references is added
Databáze: arXiv