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A note on the general moment problem

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creativeworkseries.issn1232-9274
dc.contributor.authorEl Azhar, Hamza
dc.contributor.authorHanine, Abdelouahab
dc.contributor.authorZerouali, El Hassan
dc.date.issued2024
dc.description.abstractIn this note we show that given an indeterminate Hamburger moment sequence, it is possible to perturb the first moment in such way that the obtained sequence remains an indeterminate Hamburger moment sequence. As a consequence we prove that every sequence of real numbers is a moment sequence for a signed discrete measure supported in $\mathbb{R}_{+}$.en
dc.description.placeOfPublicationKraków
dc.description.versionwersja wydawnicza
dc.identifier.doihttps://doi.org/10.7494/OpMath.2024.44.3.359
dc.identifier.eissn2300-6919
dc.identifier.issn1232-9274
dc.identifier.urihttps://repo.agh.edu.pl/handle/AGH/108007
dc.language.isoeng
dc.publisherWydawnictwa AGH
dc.rightsAttribution 4.0 International
dc.rights.accessotwarty dostęp
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/legalcode
dc.subjectgeneral moment problemen
dc.subjectcharge sequencesen
dc.subjectatomic measureen
dc.titleA note on the general moment problemen
dc.title.relatedOpuscula Mathematica
dc.typeartykuł
dspace.entity.typePublication
publicationissue.issueNumberNo. 3
publicationissue.paginationpp. 359-372
publicationvolume.volumeNumberVol. 44
relation.isJournalIssueOfPublication605aaeb9-f9da-42f4-89ca-d2c8ace02313
relation.isJournalIssueOfPublication.latestForDiscovery605aaeb9-f9da-42f4-89ca-d2c8ace02313
relation.isJournalOfPublication304b3b9b-59b9-4830-9178-93a77e6afbc7
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