Alqurashi, T. and Kisil, V.V. orcid.org/0000-0002-6593-6147 (2023) Metamorphism as a covariant transform for the SSR group. Boletín de la Sociedad Matemática Mexicana, 29 (2). 35. ISSN 1405-213X
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.
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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Keywords: | Metamorphism, Covariant transform, Integral transform |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Apr 2025 12:14 |
Last Modified: | 28 Apr 2025 12:14 |
Published Version: | https://link.springer.com/article/10.1007/s40590-0... |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s40590-023-00505-3 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225841 |
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Filename: Metamorphism as a covariant transform for the SSR group.pdf
Licence: CC-BY 4.0