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Finite difference calculus in the continuum

datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorFinkelshtein, Dmitri
dc.contributor.authorKondratiev, Yuri
dc.contributor.authorLytvynov, Eugene
dc.contributor.authorOliveira, Maria João
dc.date.accessioned2025-10-23T11:45:44Z
dc.date.available2025-10-23T11:45:44Z
dc.date.issued2025-10-22
dc.description.abstractWe 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.citationFinkelshtein, 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.doi10.1007/s11253-025-02482-4
dc.identifier.urihttp://hdl.handle.net/10400.2/20387
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFalling factorials
dc.subjectPatial combinatorics
dc.subjectConfiguration spaces
dc.subjectNewton series
dc.subjectPoisson measure
dc.subjectWick ordering
dc.subjectCanonical commutation relations
dc.titleFinite difference calculus in the continuumeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage698
oaire.citation.issue4
oaire.citation.startPage679
oaire.citation.titleUkrainian Mathematical Journal
oaire.citation.volume77
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameFinkelshtein
person.familyNameOliveira
person.givenNameDmitri
person.givenNameMaria João
person.identifier.ciencia-idDD1B-3964-2168
person.identifier.orcid0000-0001-7136-9399
person.identifier.orcid0000-0002-4027-9849
person.identifier.scopus-author-id8146642300
person.identifier.scopus-author-id24473078000
relation.isAuthorOfPublicatione2e06e21-5586-4362-92ec-b4603d6d4cbc
relation.isAuthorOfPublication73548978-4e91-4a20-bc3c-c62106297626
relation.isAuthorOfPublication.latestForDiscoverye2e06e21-5586-4362-92ec-b4603d6d4cbc

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