Matches in SemOpenAlex for { <https://semopenalex.org/work/W2047492021> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2047492021 endingPage "27" @default.
- W2047492021 startingPage "11" @default.
- W2047492021 abstract "Let $cal H$ be a Hilbert space of finite dimension d, such as the finite signals ℓ 2(d) or a space of multivariate orthogonal polynomials, and n ≥ d. There is a finite number of tight frames of n vectors for $cal H$ which can be obtained as the orbit of a single vector under the unitary action of an abelian group G (of symmetries of the frame). Each of these so called harmonic frames or geometrically uniform frames can be obtained from the character table of G in a simple way. These frames are used in signal processing and information theory. For a nonabelian group G there are in general uncountably many inequivalent tight frames of n vectors for $cal H$ which can be obtained as such a G-orbit. However, by adding an additional natural symmetry condition (which automatically holds if G is abelian), we obtain a finite class of such frames which can be constructed from the character table of G in a similar fashion to the harmonic frames. This is done by identifying each G-orbit with an element of the group algebra ℂG (via its Gramian), imposing the condition in the group algebra, and then describing the corresponding class of tight frames." @default.
- W2047492021 created "2016-06-24" @default.
- W2047492021 creator A5084088198 @default.
- W2047492021 creator A5061704632 @default.
- W2047492021 date "2008-03-18" @default.
- W2047492021 modified "2023-09-23" @default.
- W2047492021 title "Tight frames generated by finite nonabelian groups" @default.
- W2047492021 cites W1973609330 @default.
- W2047492021 cites W2024762093 @default.
- W2047492021 cites W2063065395 @default.
- W2047492021 cites W2083187425 @default.
- W2047492021 cites W2096971955 @default.
- W2047492021 cites W2106770754 @default.
- W2047492021 cites W2114182712 @default.
- W2047492021 cites W4237392678 @default.
- W2047492021 doi "https://doi.org/10.1007/s11075-008-9167-x" @default.
- W2047492021 hasPublicationYear "2008" @default.
- W2047492021 type Work @default.
- W2047492021 sameAs 2047492021 @default.
- W2047492021 citedByCount "23" @default.
- W2047492021 countsByYear W20474920212012 @default.
- W2047492021 countsByYear W20474920212013 @default.
- W2047492021 countsByYear W20474920212015 @default.
- W2047492021 countsByYear W20474920212017 @default.
- W2047492021 countsByYear W20474920212018 @default.
- W2047492021 countsByYear W20474920212019 @default.
- W2047492021 countsByYear W20474920212020 @default.
- W2047492021 crossrefType "journal-article" @default.
- W2047492021 hasAuthorship W2047492021A5061704632 @default.
- W2047492021 hasAuthorship W2047492021A5084088198 @default.
- W2047492021 hasBestOaLocation W20474920212 @default.
- W2047492021 hasConcept C121332964 @default.
- W2047492021 hasConcept C123458925 @default.
- W2047492021 hasConcept C127413603 @default.
- W2047492021 hasConcept C136119220 @default.
- W2047492021 hasConcept C136170076 @default.
- W2047492021 hasConcept C146978453 @default.
- W2047492021 hasConcept C17744445 @default.
- W2047492021 hasConcept C196644772 @default.
- W2047492021 hasConcept C199539241 @default.
- W2047492021 hasConcept C202444582 @default.
- W2047492021 hasConcept C2524010 @default.
- W2047492021 hasConcept C2777404646 @default.
- W2047492021 hasConcept C2780861071 @default.
- W2047492021 hasConcept C2781311116 @default.
- W2047492021 hasConcept C33923547 @default.
- W2047492021 hasConcept C62520636 @default.
- W2047492021 hasConcept C62799726 @default.
- W2047492021 hasConcept C67820243 @default.
- W2047492021 hasConcept C96469262 @default.
- W2047492021 hasConcept C99072794 @default.
- W2047492021 hasConceptScore W2047492021C121332964 @default.
- W2047492021 hasConceptScore W2047492021C123458925 @default.
- W2047492021 hasConceptScore W2047492021C127413603 @default.
- W2047492021 hasConceptScore W2047492021C136119220 @default.
- W2047492021 hasConceptScore W2047492021C136170076 @default.
- W2047492021 hasConceptScore W2047492021C146978453 @default.
- W2047492021 hasConceptScore W2047492021C17744445 @default.
- W2047492021 hasConceptScore W2047492021C196644772 @default.
- W2047492021 hasConceptScore W2047492021C199539241 @default.
- W2047492021 hasConceptScore W2047492021C202444582 @default.
- W2047492021 hasConceptScore W2047492021C2524010 @default.
- W2047492021 hasConceptScore W2047492021C2777404646 @default.
- W2047492021 hasConceptScore W2047492021C2780861071 @default.
- W2047492021 hasConceptScore W2047492021C2781311116 @default.
- W2047492021 hasConceptScore W2047492021C33923547 @default.
- W2047492021 hasConceptScore W2047492021C62520636 @default.
- W2047492021 hasConceptScore W2047492021C62799726 @default.
- W2047492021 hasConceptScore W2047492021C67820243 @default.
- W2047492021 hasConceptScore W2047492021C96469262 @default.
- W2047492021 hasConceptScore W2047492021C99072794 @default.
- W2047492021 hasIssue "1-3" @default.
- W2047492021 hasLocation W20474920211 @default.
- W2047492021 hasLocation W20474920212 @default.
- W2047492021 hasOpenAccess W2047492021 @default.
- W2047492021 hasPrimaryLocation W20474920211 @default.
- W2047492021 hasRelatedWork W2003215124 @default.
- W2047492021 hasRelatedWork W2008007832 @default.
- W2047492021 hasRelatedWork W2013423589 @default.
- W2047492021 hasRelatedWork W2054639409 @default.
- W2047492021 hasRelatedWork W2069234934 @default.
- W2047492021 hasRelatedWork W2156244890 @default.
- W2047492021 hasRelatedWork W2350342607 @default.
- W2047492021 hasRelatedWork W3173506193 @default.
- W2047492021 hasRelatedWork W4296501022 @default.
- W2047492021 hasRelatedWork W4298750390 @default.
- W2047492021 hasVolume "48" @default.
- W2047492021 isParatext "false" @default.
- W2047492021 isRetracted "false" @default.
- W2047492021 magId "2047492021" @default.
- W2047492021 workType "article" @default.