Matches in SemOpenAlex for { <https://semopenalex.org/work/W2338402277> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2338402277 abstract "In this work we consider translation-bounded measures over a locally compact Abelian group $mathbb{G}$, with particular interest for their so-called diffraction. Given such a measure $Lambda$, its diffraction $widehat{gamma}$ is another measure on the Pontryagin dual $widehat{mathbb{G}}$, whose decomposition into the sum $widehat{gamma} = widehat{gamma}_{mathrm{p}}+ widehat{gamma}_{mathrm{c}}$ of its atomic and continuous parts is central in diffraction theory. The problem we address here is whether the above decomposition of $widehat{gamma}$ lifts to $Lambda$ itself, that is to say, whether there exists a decomposition $Lambda = Lambda _{mathrm{p}} + Lambda _{mathrm{c}}$, where $Lambda _{mathrm{p}}$ and $Lambda _{mathrm{c}}$ are translation-bounded measures having diffraction $widehat{gamma}_{mathrm{p}}$ and $widehat{gamma}_{mathrm{c}}$ respectively. Our main result here is the almost sure existence, in a sense to be made precise, of such a decomposition. It will also be proved that a certain uniqueness property holds for the above decomposition. Next we will be interested in the situation where translation-bounded measures are weighted Meyer sets. In this context, it will be shown that the decomposition, whether it exists, also consists of weighted Meyer sets. We complete this work by discussing a natural generalization of the considered problem." @default.
- W2338402277 created "2016-06-24" @default.
- W2338402277 creator A5004045211 @default.
- W2338402277 date "2015-10-21" @default.
- W2338402277 modified "2023-09-27" @default.
- W2338402277 title "Pure point/Continuous decomposition of translation-bounded measures and diffraction" @default.
- W2338402277 cites W1497212726 @default.
- W2338402277 cites W1852985300 @default.
- W2338402277 cites W1854188004 @default.
- W2338402277 cites W1988619801 @default.
- W2338402277 cites W1992244412 @default.
- W2338402277 cites W1997085624 @default.
- W2338402277 cites W2085839155 @default.
- W2338402277 cites W2091510861 @default.
- W2338402277 cites W2161122290 @default.
- W2338402277 cites W2251180744 @default.
- W2338402277 cites W2591953731 @default.
- W2338402277 cites W2609357768 @default.
- W2338402277 cites W3099849905 @default.
- W2338402277 cites W3100107163 @default.
- W2338402277 cites W3103597113 @default.
- W2338402277 cites W3105136967 @default.
- W2338402277 cites W3106501385 @default.
- W2338402277 cites W3175312018 @default.
- W2338402277 cites W56268668 @default.
- W2338402277 cites W3042328837 @default.
- W2338402277 hasPublicationYear "2015" @default.
- W2338402277 type Work @default.
- W2338402277 sameAs 2338402277 @default.
- W2338402277 citedByCount "1" @default.
- W2338402277 countsByYear W23384022772019 @default.
- W2338402277 crossrefType "posted-content" @default.
- W2338402277 hasAuthorship W2338402277A5004045211 @default.
- W2338402277 hasConcept C114614502 @default.
- W2338402277 hasConcept C121332964 @default.
- W2338402277 hasConcept C124681953 @default.
- W2338402277 hasConcept C134306372 @default.
- W2338402277 hasConcept C18903297 @default.
- W2338402277 hasConcept C2777021972 @default.
- W2338402277 hasConcept C2778113609 @default.
- W2338402277 hasConcept C2780009758 @default.
- W2338402277 hasConcept C31498916 @default.
- W2338402277 hasConcept C33923547 @default.
- W2338402277 hasConcept C34388435 @default.
- W2338402277 hasConcept C41008148 @default.
- W2338402277 hasConcept C62520636 @default.
- W2338402277 hasConcept C77088390 @default.
- W2338402277 hasConcept C86803240 @default.
- W2338402277 hasConceptScore W2338402277C114614502 @default.
- W2338402277 hasConceptScore W2338402277C121332964 @default.
- W2338402277 hasConceptScore W2338402277C124681953 @default.
- W2338402277 hasConceptScore W2338402277C134306372 @default.
- W2338402277 hasConceptScore W2338402277C18903297 @default.
- W2338402277 hasConceptScore W2338402277C2777021972 @default.
- W2338402277 hasConceptScore W2338402277C2778113609 @default.
- W2338402277 hasConceptScore W2338402277C2780009758 @default.
- W2338402277 hasConceptScore W2338402277C31498916 @default.
- W2338402277 hasConceptScore W2338402277C33923547 @default.
- W2338402277 hasConceptScore W2338402277C34388435 @default.
- W2338402277 hasConceptScore W2338402277C41008148 @default.
- W2338402277 hasConceptScore W2338402277C62520636 @default.
- W2338402277 hasConceptScore W2338402277C77088390 @default.
- W2338402277 hasConceptScore W2338402277C86803240 @default.
- W2338402277 hasLocation W23384022771 @default.
- W2338402277 hasOpenAccess W2338402277 @default.
- W2338402277 hasPrimaryLocation W23384022771 @default.
- W2338402277 hasRelatedWork W1964895758 @default.
- W2338402277 hasRelatedWork W1973962597 @default.
- W2338402277 hasRelatedWork W1994460005 @default.
- W2338402277 hasRelatedWork W2013194599 @default.
- W2338402277 hasRelatedWork W2019228649 @default.
- W2338402277 hasRelatedWork W2024276517 @default.
- W2338402277 hasRelatedWork W2030178744 @default.
- W2338402277 hasRelatedWork W2047682481 @default.
- W2338402277 hasRelatedWork W2061501727 @default.
- W2338402277 hasRelatedWork W2066158724 @default.
- W2338402277 hasRelatedWork W2070502280 @default.
- W2338402277 hasRelatedWork W2091085007 @default.
- W2338402277 hasRelatedWork W2150884152 @default.
- W2338402277 hasRelatedWork W2205875520 @default.
- W2338402277 hasRelatedWork W2394084622 @default.
- W2338402277 hasRelatedWork W2416559847 @default.
- W2338402277 hasRelatedWork W267309845 @default.
- W2338402277 hasRelatedWork W2773067552 @default.
- W2338402277 hasRelatedWork W2783558516 @default.
- W2338402277 hasRelatedWork W2003159859 @default.
- W2338402277 isParatext "false" @default.
- W2338402277 isRetracted "false" @default.
- W2338402277 magId "2338402277" @default.
- W2338402277 workType "article" @default.