Matches in SemOpenAlex for { <https://semopenalex.org/work/W2224057887> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2224057887 endingPage "153" @default.
- W2224057887 startingPage "143" @default.
- W2224057887 abstract "Hardy's uncertainty principle says that a square integrable function and its Fourier transform cannot be simultaneously arbitrarily sharply localized. We show that a multidimensional version of this uncertainty principle can be best understood in geometrical terms using the fruitful notion of symplectic capacity, which was introduced in the mid-eighties following unexpected advances in symplectic topology (Gromov's non-squeezing theorem). In this geometric formulation, the notion of Fourier transform is replaced with that of polar duality, well-known from convex geometry. • We state a multidimensional version of Hardy's uncertainty principle. • The Hardy uncertainty principle is equivalent to a statement about the symplectic capacity of the Hardy ellipsoid. • We express this result in terms of the projections of the Hardy ellipsoid on the x - and p -spaces." @default.
- W2224057887 created "2016-06-24" @default.
- W2224057887 creator A5050598781 @default.
- W2224057887 date "2017-01-01" @default.
- W2224057887 modified "2023-10-03" @default.
- W2224057887 title "Two geometric interpretations of the multidimensional Hardy uncertainty principle" @default.
- W2224057887 cites W1969589212 @default.
- W2224057887 cites W1985317022 @default.
- W2224057887 cites W2027025011 @default.
- W2224057887 cites W2045757360 @default.
- W2224057887 cites W2093260702 @default.
- W2224057887 cites W2125455772 @default.
- W2224057887 cites W2134133051 @default.
- W2224057887 cites W2147145974 @default.
- W2224057887 cites W2333041090 @default.
- W2224057887 cites W2962990754 @default.
- W2224057887 cites W2963733266 @default.
- W2224057887 cites W3101566432 @default.
- W2224057887 cites W4299611468 @default.
- W2224057887 doi "https://doi.org/10.1016/j.acha.2015.11.002" @default.
- W2224057887 hasPublicationYear "2017" @default.
- W2224057887 type Work @default.
- W2224057887 sameAs 2224057887 @default.
- W2224057887 citedByCount "6" @default.
- W2224057887 countsByYear W22240578872020 @default.
- W2224057887 countsByYear W22240578872021 @default.
- W2224057887 countsByYear W22240578872022 @default.
- W2224057887 countsByYear W22240578872023 @default.
- W2224057887 crossrefType "journal-article" @default.
- W2224057887 hasAuthorship W2224057887A5050598781 @default.
- W2224057887 hasBestOaLocation W22240578871 @default.
- W2224057887 hasConcept C121332964 @default.
- W2224057887 hasConcept C134306372 @default.
- W2224057887 hasConcept C181543814 @default.
- W2224057887 hasConcept C199343813 @default.
- W2224057887 hasConcept C199360897 @default.
- W2224057887 hasConcept C202444582 @default.
- W2224057887 hasConcept C2777686260 @default.
- W2224057887 hasConcept C28826006 @default.
- W2224057887 hasConcept C33923547 @default.
- W2224057887 hasConcept C41008148 @default.
- W2224057887 hasConcept C42178598 @default.
- W2224057887 hasConcept C527412718 @default.
- W2224057887 hasConcept C62520636 @default.
- W2224057887 hasConcept C71924100 @default.
- W2224057887 hasConcept C84114770 @default.
- W2224057887 hasConceptScore W2224057887C121332964 @default.
- W2224057887 hasConceptScore W2224057887C134306372 @default.
- W2224057887 hasConceptScore W2224057887C181543814 @default.
- W2224057887 hasConceptScore W2224057887C199343813 @default.
- W2224057887 hasConceptScore W2224057887C199360897 @default.
- W2224057887 hasConceptScore W2224057887C202444582 @default.
- W2224057887 hasConceptScore W2224057887C2777686260 @default.
- W2224057887 hasConceptScore W2224057887C28826006 @default.
- W2224057887 hasConceptScore W2224057887C33923547 @default.
- W2224057887 hasConceptScore W2224057887C41008148 @default.
- W2224057887 hasConceptScore W2224057887C42178598 @default.
- W2224057887 hasConceptScore W2224057887C527412718 @default.
- W2224057887 hasConceptScore W2224057887C62520636 @default.
- W2224057887 hasConceptScore W2224057887C71924100 @default.
- W2224057887 hasConceptScore W2224057887C84114770 @default.
- W2224057887 hasFunder F4320321181 @default.
- W2224057887 hasIssue "1" @default.
- W2224057887 hasLocation W22240578871 @default.
- W2224057887 hasOpenAccess W2224057887 @default.
- W2224057887 hasPrimaryLocation W22240578871 @default.
- W2224057887 hasRelatedWork W1936283382 @default.
- W2224057887 hasRelatedWork W1978464346 @default.
- W2224057887 hasRelatedWork W2005272569 @default.
- W2224057887 hasRelatedWork W2161295375 @default.
- W2224057887 hasRelatedWork W2352972526 @default.
- W2224057887 hasRelatedWork W2371512749 @default.
- W2224057887 hasRelatedWork W2377614103 @default.
- W2224057887 hasRelatedWork W2742285599 @default.
- W2224057887 hasRelatedWork W3015200669 @default.
- W2224057887 hasRelatedWork W3160238577 @default.
- W2224057887 hasVolume "42" @default.
- W2224057887 isParatext "false" @default.
- W2224057887 isRetracted "false" @default.
- W2224057887 magId "2224057887" @default.
- W2224057887 workType "article" @default.