Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10444-009-9115-x
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dc.titlePairs of oblique duals in spaces of periodic functions
dc.contributor.authorChristensen, O.
dc.contributor.authorGoh, S.S.
dc.date.accessioned2014-10-28T02:43:00Z
dc.date.available2014-10-28T02:43:00Z
dc.date.issued2010-04
dc.identifier.citationChristensen, O., Goh, S.S. (2010-04). Pairs of oblique duals in spaces of periodic functions. Advances in Computational Mathematics 32 (3) : 353-379. ScholarBank@NUS Repository. https://doi.org/10.1007/s10444-009-9115-x
dc.identifier.issn10197168
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103912
dc.description.abstractWe construct non-tight frames in finite-dimensional spaces consisting of periodic functions. In order for these frames to be useful in practice one needs to calculate a dual frame; while the canonical dual frame might be cumbersome to work with, the setup presented here enables us to obtain explicit constructions of some particularly convenient oblique duals. We also provide explicit oblique duals belonging to prescribed spaces different from the space where we obtain the expansion. In particular this leads to oblique duals that are trigonometric polynomials. © 2009 Springer Science+Business Media, LLC.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s10444-009-9115-x
dc.sourceScopus
dc.subjectMixed Gramians
dc.subjectOblique dual generators
dc.subjectPeriodic frames
dc.subjectPolyphase splines
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1007/s10444-009-9115-x
dc.description.sourcetitleAdvances in Computational Mathematics
dc.description.volume32
dc.description.issue3
dc.description.page353-379
dc.identifier.isiut000274955200005
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