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Finite Difference Calculus in the Continuum
,
Yuri Kondratiev,
Eugene Lytvynov ,
Maria João Oliveira
Ukrainian Mathematical Journal, Volume: 77, Issue: 4, Pages: 679 - 698
Swansea University Authors:
Dmitri Finkelshtein , Eugene Lytvynov
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© The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
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DOI (Published version): 10.1007/s11253-025-02482-4
Abstract
We describe known and new results on the finite-difference calculus on configuration spaces. We also describe the finite-difference geometry on configuration spaces, relate finite-difference operators to the canonical commutation relations, find explicit form of certain finite-difference Markov gene...
| Published in: | Ukrainian Mathematical Journal |
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| ISSN: | 0041-5995 1573-9376 |
| Published: |
Springer Nature
2025
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa68123 |
| Abstract: |
We describe known and new results on the finite-difference calculus on configuration spaces. We also describe the finite-difference geometry on configuration spaces, relate finite-difference operators to the canonical commutation relations, find explicit form of certain finite-difference Markov generators on configuration spaces, and describe spaces of Newton series defined over the configuration spaces. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
MJO was supported by the Portuguese national funds through FCT–Fundação para a Ciência e a Tecnologia, within the project UIDB/04561/2020 (https://doi.org/10.54499/UIDB/04561/2020). |
| Issue: |
4 |
| Start Page: |
679 |
| End Page: |
698 |