Kisil, V.V. orcid.org/0000-0002-6593-6147 (Cover date: August 2023) Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle. Lobachevskii Journal of Mathematics, 44 (8). pp. 3384-3397. ISSN 1995-0802
Abstract
We discuss several seemingly assorted objects: the umbral calculus, generalised translations and associated transmutations, symbolic calculus of operators. The common framework for them is representations of the Weyl algebra of the Heisenberg group by ladder operators. Transporting various properties between different implementations we review some classic results and new opportunities.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Lobachevskii Journal of Mathematics, made available under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0.). |
Keywords: | generalised translation, Bessel functions, Heisenberg group, umbral calculus, covariant transform, transmutation, convolution, generalised translations, operator calculus |
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 12:39 |
Last Modified: | 09 May 2025 15:27 |
Published Version: | https://link.springer.com/article/10.1134/S1995080... |
Status: | Published |
Publisher: | Pleiades Publishing |
Identification Number: | 10.1134/s1995080223080309 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225842 |
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