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Analysis on the cone of discrete Radon measures

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datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorFinkelshtein, Dmitri
dc.contributor.authorKondratiev, Yuri
dc.contributor.authorKuchling, Peter
dc.contributor.authorLytvynov, Eugene
dc.contributor.authorOliveira, Maria João
dc.date.accessioned2025-09-09T14:12:19Z
dc.date.available2025-09-09T14:12:19Z
dc.date.issued2025
dc.description.abstractWe study analysis on the cone of discrete Radon measures over a locally compact Polish space X. We discuss probability measures on the cone and the corresponding correlation measures and correlation functions on the sub-cone of finite discrete Radon measures over X. For this, we consider on the cone an analogue of the harmonic analysis on the configuration space developed in [Y. G. Kondratiev, T. Kuna, Harmonic analysis on configuration space. I. General theory, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002), 201–233.]. We also study elements of finite-difference calculus on the cone: we introduce discrete birth-and-death gradients and study the corresponding Dirichlet forms; finally, we discuss a system of polynomial functions on the cone which satisfy the binomial identity.eng
dc.description.sponsorshipAcknowledgments. 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).
dc.identifier.citationFinkelshtein, D., Kondratiev, Y., Kuchling, P., Lytvynov, E., Oliveira, M. J., Analysis on the cone of discrete Radon measures. Pure Appl. Funct. Anal. 10 (2) (2025), 307--329.
dc.identifier.issn2189-3764
dc.identifier.issn2189-3756
dc.identifier.urihttp://hdl.handle.net/10400.2/20213
dc.language.isoeng
dc.peerreviewedyes
dc.publisherYokohama Publishers
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.relation.hasversionhttp://yokohamapublishers.jp/online2/oppafa/vol10/p307.html
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectCone of discrete Radon measures
dc.subjectCorrelation measures and correlation functions
dc.subjectHarmonic analysis
dc.subjectFinite-difference calculus
dc.titleAnalysis on the cone of discrete Radon measureseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04561%2F2020/PT
oaire.citation.endPage329
oaire.citation.issue2
oaire.citation.startPage307
oaire.citation.titlePure and Applied Functional Analysis
oaire.citation.volume10
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aa
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
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
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relation.isAuthorOfPublication73548978-4e91-4a20-bc3c-c62106297626
relation.isAuthorOfPublication.latestForDiscoverye2e06e21-5586-4362-92ec-b4603d6d4cbc
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