Matches in SemOpenAlex for { <https://semopenalex.org/work/W1979361736> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W1979361736 endingPage "4498" @default.
- W1979361736 startingPage "4473" @default.
- W1979361736 abstract "We consider finite subsets $Lambda subset mathbf {Z}^{n}$ satisfying the extension property, i.e. the property that every collection ${c_{mathbf {k}}}_{mathbf {k} in Lambda - Lambda }$ of complex numbers which is positive-definite on $Lambda$ is the restriction to $Lambda - Lambda$ of the Fourier coefficients of some positive measure on $mathbf {T}^{n}$. A simple algebraic condition on the set of trigonometric polynomials with non-zero coefficients restricted to $Lambda$ is shown to imply the failure of the extension property for $Lambda$. This condition is used to characterize the one-dimensional sets satisfying the extension property and to provide many examples of sets failing to satisfy it in higher dimensions. Another condition, in terms of unitary matrices, is investigated and is shown to be equivalent to the extension property. New two-dimensional examples of sets satisfying the extension property are given as well as explicit examples of collections for which the extension property fails." @default.
- W1979361736 created "2016-06-24" @default.
- W1979361736 creator A5062510355 @default.
- W1979361736 date "1998-01-01" @default.
- W1979361736 modified "2023-09-23" @default.
- W1979361736 title "Trigonometric moment problems for arbitrary finite subsets of $mathbb Z^n$" @default.
- W1979361736 cites W1485321578 @default.
- W1979361736 cites W1517022795 @default.
- W1979361736 cites W1594339747 @default.
- W1979361736 cites W1923401233 @default.
- W1979361736 cites W1964919148 @default.
- W1979361736 cites W2000852245 @default.
- W1979361736 cites W2001143251 @default.
- W1979361736 cites W2019730691 @default.
- W1979361736 cites W2036998116 @default.
- W1979361736 cites W2039431578 @default.
- W1979361736 cites W2050507755 @default.
- W1979361736 cites W2062024414 @default.
- W1979361736 cites W2063753890 @default.
- W1979361736 cites W2066340142 @default.
- W1979361736 cites W2067063463 @default.
- W1979361736 cites W2092636373 @default.
- W1979361736 cites W2610857016 @default.
- W1979361736 cites W2970257204 @default.
- W1979361736 cites W326543827 @default.
- W1979361736 cites W391578156 @default.
- W1979361736 cites W2087377426 @default.
- W1979361736 doi "https://doi.org/10.1090/s0002-9947-98-02091-1" @default.
- W1979361736 hasPublicationYear "1998" @default.
- W1979361736 type Work @default.
- W1979361736 sameAs 1979361736 @default.
- W1979361736 citedByCount "14" @default.
- W1979361736 countsByYear W19793617362012 @default.
- W1979361736 countsByYear W19793617362017 @default.
- W1979361736 crossrefType "journal-article" @default.
- W1979361736 hasAuthorship W1979361736A5062510355 @default.
- W1979361736 hasBestOaLocation W19793617361 @default.
- W1979361736 hasConcept C111472728 @default.
- W1979361736 hasConcept C114614502 @default.
- W1979361736 hasConcept C118615104 @default.
- W1979361736 hasConcept C120665830 @default.
- W1979361736 hasConcept C121332964 @default.
- W1979361736 hasConcept C134306372 @default.
- W1979361736 hasConcept C138885662 @default.
- W1979361736 hasConcept C189950617 @default.
- W1979361736 hasConcept C199360897 @default.
- W1979361736 hasConcept C202444582 @default.
- W1979361736 hasConcept C2778029271 @default.
- W1979361736 hasConcept C2778113609 @default.
- W1979361736 hasConcept C2780009758 @default.
- W1979361736 hasConcept C2780813799 @default.
- W1979361736 hasConcept C29001434 @default.
- W1979361736 hasConcept C33923547 @default.
- W1979361736 hasConcept C41008148 @default.
- W1979361736 hasConcept C41895202 @default.
- W1979361736 hasConcept C77088390 @default.
- W1979361736 hasConcept C9376300 @default.
- W1979361736 hasConceptScore W1979361736C111472728 @default.
- W1979361736 hasConceptScore W1979361736C114614502 @default.
- W1979361736 hasConceptScore W1979361736C118615104 @default.
- W1979361736 hasConceptScore W1979361736C120665830 @default.
- W1979361736 hasConceptScore W1979361736C121332964 @default.
- W1979361736 hasConceptScore W1979361736C134306372 @default.
- W1979361736 hasConceptScore W1979361736C138885662 @default.
- W1979361736 hasConceptScore W1979361736C189950617 @default.
- W1979361736 hasConceptScore W1979361736C199360897 @default.
- W1979361736 hasConceptScore W1979361736C202444582 @default.
- W1979361736 hasConceptScore W1979361736C2778029271 @default.
- W1979361736 hasConceptScore W1979361736C2778113609 @default.
- W1979361736 hasConceptScore W1979361736C2780009758 @default.
- W1979361736 hasConceptScore W1979361736C2780813799 @default.
- W1979361736 hasConceptScore W1979361736C29001434 @default.
- W1979361736 hasConceptScore W1979361736C33923547 @default.
- W1979361736 hasConceptScore W1979361736C41008148 @default.
- W1979361736 hasConceptScore W1979361736C41895202 @default.
- W1979361736 hasConceptScore W1979361736C77088390 @default.
- W1979361736 hasConceptScore W1979361736C9376300 @default.
- W1979361736 hasIssue "11" @default.
- W1979361736 hasLocation W19793617361 @default.
- W1979361736 hasOpenAccess W1979361736 @default.
- W1979361736 hasPrimaryLocation W19793617361 @default.
- W1979361736 hasRelatedWork W1516195074 @default.
- W1979361736 hasRelatedWork W1582525518 @default.
- W1979361736 hasRelatedWork W2020174565 @default.
- W1979361736 hasRelatedWork W2045877636 @default.
- W1979361736 hasRelatedWork W2046049376 @default.
- W1979361736 hasRelatedWork W2061175295 @default.
- W1979361736 hasRelatedWork W2315625581 @default.
- W1979361736 hasRelatedWork W2597512059 @default.
- W1979361736 hasRelatedWork W2949997811 @default.
- W1979361736 hasRelatedWork W4287960386 @default.
- W1979361736 hasVolume "350" @default.
- W1979361736 isParatext "false" @default.
- W1979361736 isRetracted "false" @default.
- W1979361736 magId "1979361736" @default.
- W1979361736 workType "article" @default.