Publication
Finite difference calculus in the continuum
| datacite.subject.fos | Ciências Naturais::Matemáticas | |
| dc.contributor.author | Finkelshtein, Dmitri | |
| dc.contributor.author | Kondratiev, Yuri | |
| dc.contributor.author | Lytvynov, Eugene | |
| dc.contributor.author | Oliveira, Maria João | |
| dc.date.accessioned | 2025-10-23T11:45:44Z | |
| dc.date.available | 2025-10-23T11:45:44Z | |
| dc.date.issued | 2025-10-22 | |
| dc.description.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. | eng |
| dc.identifier.citation | Finkelshtein, D., Kondratiev, Y., Lytvynov, E. et al. Finite Difference Calculus in the Continuum. Ukr Math J (2025). https://doi.org/10.1007/s11253-025-02482-4 | |
| dc.identifier.doi | 10.1007/s11253-025-02482-4 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/20387 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Falling factorials | |
| dc.subject | Patial combinatorics | |
| dc.subject | Configuration spaces | |
| dc.subject | Newton series | |
| dc.subject | Poisson measure | |
| dc.subject | Wick ordering | |
| dc.subject | Canonical commutation relations | |
| dc.title | Finite difference calculus in the continuum | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 698 | |
| oaire.citation.issue | 4 | |
| oaire.citation.startPage | 679 | |
| oaire.citation.title | Ukrainian Mathematical Journal | |
| oaire.citation.volume | 77 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Finkelshtein | |
| person.familyName | Oliveira | |
| person.givenName | Dmitri | |
| person.givenName | Maria João | |
| person.identifier.ciencia-id | DD1B-3964-2168 | |
| person.identifier.orcid | 0000-0001-7136-9399 | |
| person.identifier.orcid | 0000-0002-4027-9849 | |
| person.identifier.scopus-author-id | 8146642300 | |
| person.identifier.scopus-author-id | 24473078000 | |
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| relation.isAuthorOfPublication.latestForDiscovery | e2e06e21-5586-4362-92ec-b4603d6d4cbc |