Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225887619> ?p ?o ?g. }
- W4225887619 endingPage "126066" @default.
- W4225887619 startingPage "126066" @default.
- W4225887619 abstract "Let A={a1,…,am}, m∈N, be measurable functions on a measurable space (X,A). If μ is a positive measure on (X,A) such that ∫aidμ<∞ for all i, then the sequence (∫a1dμ,…,∫amdμ) is called a truncated moment sequence. By Richter's Theorem each truncated moment sequence has a k-atomic representing measure with k≤m. The set SA of all truncated moment sequences is the truncated moment cone. The aim of this paper is to analyze the various structures of the truncated moment cone. The main results concern the facial structure (exposed faces, facial dimensions) and lower and upper bounds of the Carathéodory number (that is, the smallest number of atoms which suffices for all truncated moment sequences) of the convex cone SA. In the case when X⊆Rn and ai∈C1(X,R), the differential structure of the moment map and regularity/singularity properties of moment sequences are analyzed. The maximal mass problem is considered and some applications to other problems are sketched." @default.
- W4225887619 created "2022-05-05" @default.
- W4225887619 creator A5010485476 @default.
- W4225887619 creator A5043414475 @default.
- W4225887619 date "2022-07-01" @default.
- W4225887619 modified "2023-09-30" @default.
- W4225887619 title "The multidimensional truncated moment problem: The moment cone" @default.
- W4225887619 cites W1637979090 @default.
- W4225887619 cites W186221740 @default.
- W4225887619 cites W1965073641 @default.
- W4225887619 cites W1974672421 @default.
- W4225887619 cites W1974847335 @default.
- W4225887619 cites W1982143057 @default.
- W4225887619 cites W1990445711 @default.
- W4225887619 cites W1995488855 @default.
- W4225887619 cites W1998292266 @default.
- W4225887619 cites W2003862573 @default.
- W4225887619 cites W2013328282 @default.
- W4225887619 cites W2015626260 @default.
- W4225887619 cites W2040477106 @default.
- W4225887619 cites W2064068297 @default.
- W4225887619 cites W2066155826 @default.
- W4225887619 cites W2077071943 @default.
- W4225887619 cites W2081647685 @default.
- W4225887619 cites W2091634081 @default.
- W4225887619 cites W2093272324 @default.
- W4225887619 cites W2116827925 @default.
- W4225887619 cites W2145828587 @default.
- W4225887619 cites W2257448002 @default.
- W4225887619 cites W2284152333 @default.
- W4225887619 cites W2330720619 @default.
- W4225887619 cites W2521667679 @default.
- W4225887619 cites W2607319789 @default.
- W4225887619 cites W2620306317 @default.
- W4225887619 cites W2796843074 @default.
- W4225887619 cites W2953079910 @default.
- W4225887619 cites W2962694765 @default.
- W4225887619 cites W2963262648 @default.
- W4225887619 cites W2963751073 @default.
- W4225887619 cites W2964227090 @default.
- W4225887619 cites W3101397043 @default.
- W4225887619 cites W3136795162 @default.
- W4225887619 cites W4240371321 @default.
- W4225887619 cites W4254762876 @default.
- W4225887619 cites W66250508 @default.
- W4225887619 doi "https://doi.org/10.1016/j.jmaa.2022.126066" @default.
- W4225887619 hasPublicationYear "2022" @default.
- W4225887619 type Work @default.
- W4225887619 citedByCount "3" @default.
- W4225887619 countsByYear W42258876192022 @default.
- W4225887619 countsByYear W42258876192023 @default.
- W4225887619 crossrefType "journal-article" @default.
- W4225887619 hasAuthorship W4225887619A5010485476 @default.
- W4225887619 hasAuthorship W4225887619A5043414475 @default.
- W4225887619 hasBestOaLocation W42258876192 @default.
- W4225887619 hasConcept C105795698 @default.
- W4225887619 hasConcept C111919701 @default.
- W4225887619 hasConcept C11413529 @default.
- W4225887619 hasConcept C114614502 @default.
- W4225887619 hasConcept C121332964 @default.
- W4225887619 hasConcept C134306372 @default.
- W4225887619 hasConcept C179254644 @default.
- W4225887619 hasConcept C2778112365 @default.
- W4225887619 hasConcept C2778572836 @default.
- W4225887619 hasConcept C2780009758 @default.
- W4225887619 hasConcept C30014739 @default.
- W4225887619 hasConcept C33923547 @default.
- W4225887619 hasConcept C41008148 @default.
- W4225887619 hasConcept C4285052 @default.
- W4225887619 hasConcept C54355233 @default.
- W4225887619 hasConcept C74650414 @default.
- W4225887619 hasConcept C77088390 @default.
- W4225887619 hasConcept C86803240 @default.
- W4225887619 hasConcept C9679016 @default.
- W4225887619 hasConceptScore W4225887619C105795698 @default.
- W4225887619 hasConceptScore W4225887619C111919701 @default.
- W4225887619 hasConceptScore W4225887619C11413529 @default.
- W4225887619 hasConceptScore W4225887619C114614502 @default.
- W4225887619 hasConceptScore W4225887619C121332964 @default.
- W4225887619 hasConceptScore W4225887619C134306372 @default.
- W4225887619 hasConceptScore W4225887619C179254644 @default.
- W4225887619 hasConceptScore W4225887619C2778112365 @default.
- W4225887619 hasConceptScore W4225887619C2778572836 @default.
- W4225887619 hasConceptScore W4225887619C2780009758 @default.
- W4225887619 hasConceptScore W4225887619C30014739 @default.
- W4225887619 hasConceptScore W4225887619C33923547 @default.
- W4225887619 hasConceptScore W4225887619C41008148 @default.
- W4225887619 hasConceptScore W4225887619C4285052 @default.
- W4225887619 hasConceptScore W4225887619C54355233 @default.
- W4225887619 hasConceptScore W4225887619C74650414 @default.
- W4225887619 hasConceptScore W4225887619C77088390 @default.
- W4225887619 hasConceptScore W4225887619C86803240 @default.
- W4225887619 hasConceptScore W4225887619C9679016 @default.
- W4225887619 hasIssue "1" @default.
- W4225887619 hasLocation W42258876191 @default.
- W4225887619 hasLocation W42258876192 @default.
- W4225887619 hasOpenAccess W4225887619 @default.
- W4225887619 hasPrimaryLocation W42258876191 @default.