Matches in SemOpenAlex for { <https://semopenalex.org/work/W2890129159> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2890129159 abstract "We consider topological dynamical systems over $ZZ$ and, more generally, locally compact, $sigma$-compact abelian groups. We relate spectral theory and diffraction theory. We first use a a recently developed general framework of diffraction theory to associate an autocorrelation and a diffraction measure to any $L^2$-function over such a dynamical system. This diffraction measure is shown to be the spectral measure of the function. If the group has a countable basis of the topology one can also exhibit the underlying autocorrelation by sampling along the orbits. Building on these considerations we then show how the spectral theory of dynamical systems can be reformulated via diffraction theory of function dynamical systems. In particular, we show that the diffraction measures of suitable factors provide a complete spectral invariant." @default.
- W2890129159 created "2018-09-27" @default.
- W2890129159 creator A5056482809 @default.
- W2890129159 date "2018-09-20" @default.
- W2890129159 modified "2023-09-27" @default.
- W2890129159 title "Spectral theory of dynamical systems as diffraction theory of sampling functions" @default.
- W2890129159 cites W103694324 @default.
- W2890129159 cites W107238648 @default.
- W2890129159 cites W1497399181 @default.
- W2890129159 cites W1988619801 @default.
- W2890129159 cites W2015500481 @default.
- W2890129159 cites W2048009174 @default.
- W2890129159 cites W2062002928 @default.
- W2890129159 cites W2132915523 @default.
- W2890129159 cites W2324802422 @default.
- W2890129159 cites W2591953731 @default.
- W2890129159 cites W2962999974 @default.
- W2890129159 cites W2964021601 @default.
- W2890129159 cites W3105136967 @default.
- W2890129159 cites W3109381375 @default.
- W2890129159 cites W3152478022 @default.
- W2890129159 hasPublicationYear "2018" @default.
- W2890129159 type Work @default.
- W2890129159 sameAs 2890129159 @default.
- W2890129159 citedByCount "1" @default.
- W2890129159 countsByYear W28901291592020 @default.
- W2890129159 crossrefType "posted-content" @default.
- W2890129159 hasAuthorship W2890129159A5056482809 @default.
- W2890129159 hasConcept C105795698 @default.
- W2890129159 hasConcept C114275822 @default.
- W2890129159 hasConcept C114614502 @default.
- W2890129159 hasConcept C121332964 @default.
- W2890129159 hasConcept C121864883 @default.
- W2890129159 hasConcept C134306372 @default.
- W2890129159 hasConcept C184720557 @default.
- W2890129159 hasConcept C207114421 @default.
- W2890129159 hasConcept C2780009758 @default.
- W2890129159 hasConcept C33923547 @default.
- W2890129159 hasConcept C41008148 @default.
- W2890129159 hasConcept C5297727 @default.
- W2890129159 hasConcept C62520636 @default.
- W2890129159 hasConcept C77088390 @default.
- W2890129159 hasConcept C79379906 @default.
- W2890129159 hasConceptScore W2890129159C105795698 @default.
- W2890129159 hasConceptScore W2890129159C114275822 @default.
- W2890129159 hasConceptScore W2890129159C114614502 @default.
- W2890129159 hasConceptScore W2890129159C121332964 @default.
- W2890129159 hasConceptScore W2890129159C121864883 @default.
- W2890129159 hasConceptScore W2890129159C134306372 @default.
- W2890129159 hasConceptScore W2890129159C184720557 @default.
- W2890129159 hasConceptScore W2890129159C207114421 @default.
- W2890129159 hasConceptScore W2890129159C2780009758 @default.
- W2890129159 hasConceptScore W2890129159C33923547 @default.
- W2890129159 hasConceptScore W2890129159C41008148 @default.
- W2890129159 hasConceptScore W2890129159C5297727 @default.
- W2890129159 hasConceptScore W2890129159C62520636 @default.
- W2890129159 hasConceptScore W2890129159C77088390 @default.
- W2890129159 hasConceptScore W2890129159C79379906 @default.
- W2890129159 hasLocation W28901291591 @default.
- W2890129159 hasOpenAccess W2890129159 @default.
- W2890129159 hasPrimaryLocation W28901291591 @default.
- W2890129159 hasRelatedWork W1677370426 @default.
- W2890129159 hasRelatedWork W1968462893 @default.
- W2890129159 hasRelatedWork W2042797052 @default.
- W2890129159 hasRelatedWork W2046409845 @default.
- W2890129159 hasRelatedWork W2123845270 @default.
- W2890129159 hasRelatedWork W2251180744 @default.
- W2890129159 hasRelatedWork W2269882588 @default.
- W2890129159 hasRelatedWork W2312324557 @default.
- W2890129159 hasRelatedWork W2596445545 @default.
- W2890129159 hasRelatedWork W2611611705 @default.
- W2890129159 hasRelatedWork W2626831117 @default.
- W2890129159 hasRelatedWork W2768658707 @default.
- W2890129159 hasRelatedWork W2891557314 @default.
- W2890129159 hasRelatedWork W2963787154 @default.
- W2890129159 hasRelatedWork W3024957894 @default.
- W2890129159 hasRelatedWork W3098700810 @default.
- W2890129159 hasRelatedWork W3103180204 @default.
- W2890129159 hasRelatedWork W3104145993 @default.
- W2890129159 hasRelatedWork W3104257755 @default.
- W2890129159 hasRelatedWork W3121152033 @default.
- W2890129159 isParatext "false" @default.
- W2890129159 isRetracted "false" @default.
- W2890129159 magId "2890129159" @default.
- W2890129159 workType "article" @default.